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131979696 = 24329591607
BaseRepresentation
bin1111101110111…
…01100110110000
3100012100021002220
413313131212300
5232241322241
621032441040
73161544312
oct767354660
9305307086
10131979696
1168554332
1238249180
132145c8c4
14137577b2
15b8c0166
hex7ddd9b0

131979696 has 80 divisors (see below), whose sum is σ = 358905600. Its totient is φ = 41730304.

The previous prime is 131979689. The next prime is 131979737. The reversal of 131979696 is 696979131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81325 + ... + 82931.

It is an arithmetic number, because the mean of its divisors is an integer number (4486320).

Almost surely, 2131979696 is an apocalyptic number.

131979696 is a gapful number since it is divisible by the number (16) 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 131979696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179452800).

131979696 is an abundant number, since it is smaller than the sum of its proper divisors (226925904).

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

131979696 is a wasteful number, since it uses less digits than its factorization.

131979696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1700 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 131979696 is about 11488.2416409127. The cubic root of 131979696 is about 509.1382293831.

The spelling of 131979696 in words is "one hundred thirty-one million, nine hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 59 87 116 118 174 177 232 236 348 354 464 472 696 708 944 1392 1416 1607 1711 2832 3214 3422 4821 5133 6428 6844 9642 10266 12856 13688 19284 20532 25712 27376 38568 41064 46603 77136 82128 93206 94813 139809 186412 189626 279618 284439 372824 379252 559236 568878 745648 758504 1118472 1137756 1517008 2236944 2275512 2749577 4551024 5499154 8248731 10998308 16497462 21996616 32994924 43993232 65989848 131979696