180

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180 is an integer. Measured in degrees, the interior angles of a triangle always add up to 180, or $\pi$ 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).

Values for number theoretic functions with 180 as an argument

TABLE GOES HERE

Factorization of 180 in some quadratic integer rings

PLACEHOLDER

TABLE GOES HERE

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

See also

Some integers

							$-1$
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