# 160 (number)

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 ← 159 160 161 →
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.

## 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

## References

1. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
2. ^ Hillebrand, Friedhelm (2010), Short Message Service (SMS): The Creation of Personal Global Text Messaging (2nd ed.), John Wiley & Sons, p. 55, ISBN 9780470689936.