60 (number)

Natural number

| <- 59  | 60 |  61 ->

|
|

← 60 61 62 63 64 65 66 67 68 69 →

* List of numbers
* Integers

← 0 10 20 30 40 50 60 70 80 90 →

Cardinal| sixty
Ordinal| 60th
(sixtieth)
Numeral system| sexagesimal
Factorization| 22 × 3 × 5
Divisors| 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greek numeral| Ξ´
Roman numeral| LX, lx
Binary| 1111002
Ternary| 20203
Senary| 1406
Octal| 748
Duodecimal| 5012
Hexadecimal| 3C16
Armenian| Կ
Hebrew| ס
Babylonian numeral| 𒐕
Egyptian hieroglyph| 𓎋

60 (sixty) (Listenⓘ) is the natural number following 59 and preceding 61. Being three times 20, it is called threescore in older literature (kopa in Slavic, Schock in Germanic).

## In mathematics

[edit]

60 is the 4th superior highly composite number,[1] the 4th colossally abundant number,[2] the 9th highly composite number,[3] a unitary perfect number,[4] and an abundant number. It is the smallest number divisible by the numbers 1 to 6.

The smallest group that is not solvable is the alternating group A5, which has 60 elements.

There are 60 one-sided hexominoes, the polyominoes made from six squares.

There are 60 seconds in a minute, as well as 60 minutes in a degree.

## In science and technology

[edit]

Buckminsterfullerene C60 has 60 carbon atoms in each molecule, arranged in a truncated icosahedron.

The first fullerene to be discovered was buckminsterfullerene C60, an allotrope of carbon with 60 atoms in each molecule, arranged in a truncated icosahedron. This ball is known as a buckyball, and looks like a soccer ball.

The atomic number of neodymium is 60, and cobalt-60 (60Co) is a radioactive isotope of cobalt.

The electrical utility frequency in western Japan, South Korea, Taiwan, the Philippines, the United States, and several other countries in the Americas is 60 Hz.

An exbibyte (sometimes called exabyte) is 260 bytes.

## Cultural number systems

[edit]

Babylonian cuneiform numerals

The Babylonian cuneiform numerals had a base of 60, inherited from the Sumerian and Akkadian civilizations, and possibly motivated by the large number of divisors that 60 has.[citation needed] The sexagesimal measurement of time and of geometric angles is a legacy of the Babylonian system.

The number system in the Mali Empire was based on 60, reflected in the counting system of the Maasina Fulfulde, a variant of the Fula language spoken in contemporary Mali.[5] The Ekagi of Western New Guinea used base 60,[6] and the sexagenary cycle plays a role in Chinese calendar and numerology.

From Polish–Lithuanian Commonwealth in Slavic and Baltic languages 60 has its own name kopa (Polish: kopa, Belarusian: капа́, Lithuanian: kapa, Czech: kopa, Russian: копа, Ukrainian: копа́), in Germanic languages: German: Schock, Danish: skok, Dutch: schok, Swedish: Skock, Norwegian: Skokk and in Latin: sexagena refer to 60 = 5 dozen = ⁠1/2⁠ small gross. This quantity was used in international medieval treaties e.g. for ransom of captured Teutonic Knights.

## In religion

[edit]

In Hinduism, the 60th birthday of a man is called Sashti poorthi. A ceremony called Sashti (60) Abda (years) Poorthi (completed) in Sanskrit is conducted to felicitate this birthday. It represents a milestone in his life. There are 60 years mentioned in the historic Indian calendars.

## In other fields

[edit]

There are 60 seconds in a minute, and 60 minutes in an hour.

It is:

* In time, the number of seconds in a minute, and the number of minutes in an hour.[7] (a legacy of the Babylonian number system)[8]
* The number of feet in the standard measurement tool to evaluate an automotive launch on a dragstrip, as the time taken to travel the first 60 feet (18 m) of the track.
* The number of miles per hour an automobile accelerates to from rest (0-60) as one of the standard measurements of performance
* The number of years in a sexagenary cycle
* In years of marriage, the diamond wedding anniversary
* The age for senior citizens in some cultures
* The international calling code for Malaysia

## See also

[edit]

* List of highways numbered 60

## References

[edit]

1. ^ "A002201 - OEIS". oeis.org. Retrieved 2024-11-28.
2. ^ "A004490 - OEIS". oeis.org. Retrieved 2024-11-28.
3. ^ Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
4. ^ Sloane, N. J. A. (ed.). "Sequence A002827 (Unitary perfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
5. ^ La Fontane, Jean sybil (2004). The Interpretation of Ritual: Essays in Honour of A.I. Richards. Routledge. p. 320.
6. ^ Bowers, Nancy (1977). "Kapauku numeration: Reckoning, racism, scholarship, and Melanesian counting systems" (PDF). Journal of the Polynesian Society. 86 (1): 105–116\. Archived from the original (PDF) on March 5, 2009.
7. ^ Dennis Guedj, Numbers: The Universal Language, transl. Lory Frankel. New York: Harry N. Abrams, Inc. Publishers (1997): 71. "60: the ace of divisibility. The more divisible a number is ... the more useful it proves in certain situations. ... Is it because 60 is highly divisible that the hour has been divided into 60 minutes, and the minute into 60 seconds? Look at the list of its twelve divisors ... Compare this with the larger number 100, which has only nine divisors."
8. ^ "Why is a minute divided into 60 seconds, an hour into 60 minutes, yet there are only 24 hours in a day?". Scientific American. Springer Nature. Retrieved 30 April 2025.

## External links

[edit]

Look up sixty in Wiktionary, the free dictionary.

* Woolley, Thomas (18 May 2012). "60". YouTube.

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Integers

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600s

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900s

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1000s

* 1000
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* 1023
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* 1089
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* 1105
* 1234
* 1289
* 1458
* 1510
* 1728
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* 1980
* 1987

* 2000
* 2016
* 2520
* 3000
* 3511
* 4000
* 4104
* 5000
* 5040
* 6000
* 6174
* 7000
* 7744
* 7825
* 8000
* 8128
* 8192
* 9000
* 9855
* 9999

* 10,000
* 16,807
* 20,000
* 30,000
* 40,000
* 50,000
* 60,000
* 64,079
* 65,535
* 65,536
* 65,537
* 70,000
* 80,000
* 90,000

* 100,000
* 142,857
* 144,000
* 1,000,000
* 10,000,000
* 43,112,609
* 100,000,000
* 1,000,000,000
* 2,147,483,647
* 4,294,967,295
* 10,000,000,000
* 100,000,000,000

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