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180
From OeisWiki
180 is an integer. Measured in degrees, the interior angles of a triangle always add up to 180, or radians (the decimal expansion of which is given by A000796).
Contents
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
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 |