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276672132 = 223311463503
BaseRepresentation
bin10000011111011…
…010111010000100
3201021121101211000
4100133122322010
51031312002012
643242013300
76566450202
oct2037327204
9637541730
10276672132
111321a0960
12787a7230
1345420a29
1428a60072
1519451ddc
hex107dae84

276672132 has 96 divisors (see below), whose sum is σ = 785756160. Its totient is φ = 83492640.

The previous prime is 276672113. The next prime is 276672169. The reversal of 276672132 is 231276672.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549793 + ... + 550295.

It is an arithmetic number, because the mean of its divisors is an integer number (8184960).

Almost surely, 2276672132 is an apocalyptic number.

276672132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276672132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392878080).

276672132 is an abundant number, since it is smaller than the sum of its proper divisors (509084028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

276672132 is a wasteful number, since it uses less digits than its factorization.

276672132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 276672132 is about 16633.4642212619. The cubic root of 276672132 is about 651.6110976950.

The spelling of 276672132 in words is "two hundred seventy-six million, six hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 463 503 594 926 1006 1188 1389 1509 1852 2012 2778 3018 4167 4527 5093 5533 5556 6036 8334 9054 10186 11066 12501 13581 15279 16599 16668 18108 20372 22132 25002 27162 30558 33198 45837 49797 50004 54324 61116 66396 91674 99594 137511 149391 183348 199188 232889 275022 298782 465778 550044 597564 698667 931556 1397334 2096001 2561779 2794668 4192002 5123558 6288003 7685337 8384004 10247116 12576006 15370674 23056011 25152012 30741348 46112022 69168033 92224044 138336066 276672132