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131882892 = 22343255587
BaseRepresentation
bin1111101110001…
…01111110001100
3100012011100022120
413313011332030
5232230223032
621030412540
73160662141
oct767057614
9305140276
10131882892
1168498629
1238201150
132142781b
14137303c8
15b8a162c
hex7dc5f8c

131882892 has 24 divisors (see below), whose sum is σ = 314884416. Its totient is φ = 42938448.

The previous prime is 131882887. The next prime is 131882903. The reversal of 131882892 is 298288131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127278 + ... + 128309.

It is an arithmetic number, because the mean of its divisors is an integer number (13120184).

Almost surely, 2131882892 is an apocalyptic number.

131882892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131882892 is an abundant number, since it is smaller than the sum of its proper divisors (183001524).

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

131882892 is a wasteful number, since it uses less digits than its factorization.

131882892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255637 (or 255635 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 131882892 is about 11484.0276906667. The cubic root of 131882892 is about 509.0137186345.

The spelling of 131882892 in words is "one hundred thirty-one million, eight hundred eighty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 255587 511174 766761 1022348 1533522 3067044 10990241 21980482 32970723 43960964 65941446 131882892