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131726964 = 223139151523
BaseRepresentation
bin1111101100111…
…11111001110100
3100011212102102110
413312133321310
5232210230324
621023211020
73156442425
oct766377164
9304772373
10131726964
11683a1466
1238146a70
13213a1865
14136cd64c
15b870329
hex7d9fe74

131726964 has 48 divisors (see below), whose sum is σ = 312220160. Its totient is φ = 43221600.

The previous prime is 131726921. The next prime is 131726971. The reversal of 131726964 is 469627131.

131726964 = T432 + T433 + ... + T954.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251607 + ... + 252129.

Almost surely, 2131726964 is an apocalyptic number.

It is an amenable number.

131726964 is an abundant number, since it is smaller than the sum of its proper divisors (180493196).

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

131726964 is a wasteful number, since it uses less digits than its factorization.

131726964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 131726964 is about 11477.2367754612. The cubic root of 131726964 is about 508.8130335404.

The spelling of 131726964 in words is "one hundred thirty-one million, seven hundred twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 139 151 278 302 417 453 523 556 604 834 906 1046 1569 1668 1812 2092 3138 6276 20989 41978 62967 72697 78973 83956 125934 145394 157946 218091 236919 251868 290788 315892 436182 473838 872364 947676 10977247 21954494 32931741 43908988 65863482 131726964