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131407152 = 2432737649
BaseRepresentation
bin1111101010100…
…01110100110000
3100011021011201120
413311101310300
5232120012102
621012302240
73153641142
oct765216460
9304234646
10131407152
11681a3158
1238011980
13212bc116
1413648c92
15b80a6bc
hex7d51d30

131407152 has 20 divisors (see below), whose sum is σ = 339468600. Its totient is φ = 43802368.

The previous prime is 131407139. The next prime is 131407153. The reversal of 131407152 is 251704131.

It is a super-2 number, since 2×1314071522 = 34535679193502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131407153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1368777 + ... + 1368872.

It is an arithmetic number, because the mean of its divisors is an integer number (16973430).

Almost surely, 2131407152 is an apocalyptic number.

131407152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131407152 is an abundant number, since it is smaller than the sum of its proper divisors (208061448).

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

131407152 is a wasteful number, since it uses less digits than its factorization.

131407152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737660 (or 2737654 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 131407152 is about 11463.2958611387. The cubic root of 131407152 is about 508.4009276294.

The spelling of 131407152 in words is "one hundred thirty-one million, four hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2737649 5475298 8212947 10950596 16425894 21901192 32851788 43802384 65703576 131407152