160 (number)

Short description: Natural number

| <- 159  | 160 |  161 ->

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← 160 161 162 163 164 165 166 167 168 169 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| one hundred sixty
Ordinal| 160th
(one hundred sixtieth)
Factorization| 25 × 5
Divisors| 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greek numeral| ΡΞ´
Roman numeral| CLX
Binary| 101000002
Ternary| 122213
Quaternary| 22004
Quinary| 11205
Senary| 4246
Octal| 2408
Duodecimal| 11412
Hexadecimal| A016
Vigesimal| 8020
Base 36| 4G36

160 (one hundred [and] sixty) is the natural number following 159 and preceding 161.

## Contents

* 1 In mathematics
* 2 In telecommunications
* 3 See also
* 4 References
* 5 External links

## In mathematics

160 is the sum of the first 11 primes, as well as the sum of the cubes of the first three primes.

Given 160, the Mertens function returns 0.[1] 160 is the smallest number n with exactly 12 solutions to the equation φ(x) = n.

## In telecommunications

* The number of characters permitted in a standard short message service[2]
* The number for Dial-a-Disc (1966–1991), a telephone number operated by the General Post Office in the United Kingdom, which enabled callers to hear the latest chart hits

## See also

* 160s
* List of highways numbered 160
* United Nations Security Council Resolution 160
* United States Supreme Court cases, Volume 160
* Article 160 of the Constitution of Malaysia
* Norris School District 160, Lancaster County, Nebraska

## References

1. ↑ "Sloane's A028442 : Numbers n such that Mertens' function is zero". OEIS Foundation. https://oeis.org/A028442.
2. ↑ Hillebrand, Friedhelm (2010), Short Message Service (SMS): The Creation of Personal Global Text Messaging (2nd ed.), John Wiley & Sons, p. 55, ISBN 9780470689936, https://books.google.com/books?id=YPgfNaoYHUsC&pg=PA .

## External links

* Number Facts and Trivia: 160

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