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# 180

Please do not rely on any information it contains.

180 is an integer. Measured in degrees, the interior angles of a triangle always add up to 180, or ${\displaystyle \pi }$ radians (the decimal expansion of which is given by A000796).

## Membership in core sequences

 Even numbers ..., 174, 176, 178, 180, 182, 184, 186, ... A005843 Composite numbers ..., 176, 177, 178, 180, 182, 183, 184, ... A002808 Abundant numbers ..., 168, 174, 176, 180, 186, 192, 196, ... A005101

## Sequences pertaining to 180

 Multiples of 180 0, 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, ... Divisors of 180 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 A018321

## Partitions of 180

There are 684957390936 partitions of 180.

The Goldbach representations of 180 are: 173 + 7 = 167 + 13 = 163 + 17 = 157 + 23 = 151 + 29 = 149 + 31 = 139 + 41 = 137 + 43 = 127 + 53 = 113 + 67 = 109 + 71 = 107 + 73 = 101 + 79 = 97 + 83 = 180.

There are 752 ways to partition 180 as a sum of some of its distinct divisors (see A033630). This is more than any smaller number (hence 180 is listed in A065218).

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PLACEHOLDER

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## Representation of 180 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 10110100 20202 2310 1210 500 345 264 220 180 154 130 10B CC C0 B4 AA A0 99 90

 ${\displaystyle -1}$ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1729