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131493696 = 2631374999
BaseRepresentation
bin1111101011001…
…10111101000000
3100011102120102220
413311212331000
5232130244241
621014211040
73154451355
oct765467500
9304376386
10131493696
1168252184
1238053a80
132131c629
141366c62c
15b826166
hex7d66f40

131493696 has 56 divisors (see below), whose sum is σ = 350520000. Its totient is φ = 43502592.

The previous prime is 131493679. The next prime is 131493701. The reversal of 131493696 is 696394131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23805 + ... + 28803.

Almost surely, 2131493696 is an apocalyptic number.

131493696 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 131493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175260000).

131493696 is an abundant number, since it is smaller than the sum of its proper divisors (219026304).

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

131493696 is a wasteful number, since it uses less digits than its factorization.

131493696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5141 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 131493696 is about 11467.0700704234. The cubic root of 131493696 is about 508.5125131192.

The spelling of 131493696 in words is "one hundred thirty-one million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 4999 6576 8768 9998 13152 14997 19996 26304 29994 39992 59988 79984 119976 159968 239952 319936 479904 684863 959808 1369726 2054589 2739452 4109178 5478904 8218356 10957808 16436712 21915616 32873424 43831232 65746848 131493696