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131272956 = 22323646471
BaseRepresentation
bin1111101001100…
…01000011111100
3100011000100122100
413310301003330
5232101213311
621005345100
73152541663
oct764610374
9304010570
10131272956
1168111351
1237b68190
1321273009
1413611dda
15b7d0a56
hex7d310fc

131272956 has 18 divisors (see below), whose sum is σ = 331828952. Its totient is φ = 43757640.

The previous prime is 131272949. The next prime is 131272969. The reversal of 131272956 is 659272131.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3646471 = 131272956 / (1 + 3 + 1 + 2 + 7 + 2 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 131272956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1823200 + ... + 1823271.

Almost surely, 2131272956 is an apocalyptic number.

It is an amenable number.

131272956 is an abundant number, since it is smaller than the sum of its proper divisors (200555996).

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

131272956 is a wasteful number, since it uses less digits than its factorization.

131272956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646481 (or 3646476 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 131272956 is about 11457.4410755631. The cubic root of 131272956 is about 508.2278051180.

The spelling of 131272956 in words is "one hundred thirty-one million, two hundred seventy-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3646471 7292942 10939413 14585884 21878826 32818239 43757652 65636478 131272956