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138680976 = 2437258963
BaseRepresentation
bin10000100010000…
…01101010010000
3100122221201112110
420101001222100
5241000242401
621432225320
73302524500
oct1021015220
9318851473
10138680976
1171311085
123a53b240
1322967b65
14145bda00
15c2959d6
hex8441a90

138680976 has 60 divisors (see below), whose sum is σ = 416757552. Its totient is φ = 39622464.

The previous prime is 138680959. The next prime is 138681013. The reversal of 138680976 is 679086831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27130 + ... + 31833.

Almost surely, 2138680976 is an apocalyptic number.

138680976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138680976 is an abundant number, since it is smaller than the sum of its proper divisors (278076576).

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

138680976 is a wasteful number, since it uses less digits than its factorization.

138680976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58988 (or 58975 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 138680976 is about 11776.2887192867. The cubic root of 138680976 is about 517.6135417976.

It can be divided in two parts, 138680 and 976, that added together give a triangular number (139656 = T528).

The spelling of 138680976 in words is "one hundred thirty-eight million, six hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 58963 117926 176889 235852 353778 412741 471704 707556 825482 943408 1238223 1415112 1650964 2476446 2830224 2889187 3301928 4952892 5778374 6603856 8667561 9905784 11556748 17335122 19811568 23113496 34670244 46226992 69340488 138680976