276

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276 is an integer. It is the smallest sum of distinct positive fifth powers: 1 5 + 2 5 + 3 5 = 276.

Membership in core sequences

Even numbers	..., 270, 272, 274, 276, 278, 280, 282, ...	A005843
Composite numbers	..., 273, 274, 275, 276, 278, 279, 280, ...	A002808
Abundant numbers	..., 264, 270, 272, 276, 280, 282, 288, ...	A005101
Triangular numbers	..., 210, 231, 253, 276, 300, 325, 351, ...	A000217
A McKay-Thompson series	1, 40, 276, −2048, 11202, −49152, ...	A035099

Sequences pertaining to 276

Multiples of 276	276, 552, 828, 1104, 1380, 1656, 1932, 2208, 2484, 2760, 3036, 3312, ...
Divisors of 276	1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276	A018369

Partitions of 276

There are 1637293969337171 partitions of 276.

The Goldbach representations of 276 are 271 + 5 = 269 + 7 = 263 + 13 = 257 + 19 = 239 + 37 = 233 + 43 = 229 + 47 = 223 + 53 = 197 + 79 = 193 + 83 = 179 + 97 = 173 + 103 = 167 + 109 = 163 + 113 = 149 + 127 = 139 + 137 = 276.

There are seven ways to express 276 as a sum of its distinct divisors: 1 + 4 + 6 + 12 + 23 + 92 + 138 = 1 + 4 + 6 + 12 + 46 + 69 + 138 = 2 + 3 + 6 + 12 + 23 + 92 + 138 = 2 + 3 + 6 + 12 + 46 + 69 + 138 = 23 + 46 + 69 + 138 = 46 + 92 + 138 = 276.

Roots and powers of 276

In the table below, irrational numbers are given truncated to eight decimal places.

TABLE GOES HERE

Values for number theoretic functions with 276 as an argument

TABLE GOES HERE

Factorization of 276 in some quadratic integer rings

REMARKS GO HERE

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Representation of 276 in various bases

Base	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Representation	100010100	101020	10110	2101	1140	543	424	336	276	231	1B0	183	15A	136	114	G4	F6	EA	DG

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