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131870952 = 233211871543
BaseRepresentation
bin1111101110000…
…11000011101000
3100012010201221100
413313003003220
5232224332302
621030241400
73160612263
oct767030350
9305121840
10131870952
116848a664
12381b6260
1321422265
1413729cda
15b89cd1c
hex7dc30e8

131870952 has 48 divisors (see below), whose sum is σ = 357683040. Its totient is φ = 43891488.

The previous prime is 131870951. The next prime is 131870971. The reversal of 131870952 is 259078131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131870951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84693 + ... + 86235.

It is an arithmetic number, because the mean of its divisors is an integer number (7451730).

Almost surely, 2131870952 is an apocalyptic number.

131870952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131870952 is an abundant number, since it is smaller than the sum of its proper divisors (225812088).

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

131870952 is a wasteful number, since it uses less digits than its factorization.

131870952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131870952 is about 11483.5078264440. The cubic root of 131870952 is about 508.9983570079.

The spelling of 131870952 in words is "one hundred thirty-one million, eight hundred seventy thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1187 1543 2374 3086 3561 4629 4748 6172 7122 9258 9496 10683 12344 13887 14244 18516 21366 27774 28488 37032 42732 55548 85464 111096 1831541 3663082 5494623 7326164 10989246 14652328 16483869 21978492 32967738 43956984 65935476 131870952