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131881392 = 2433305281
BaseRepresentation
bin1111101110001…
…01100110110000
3100012011021021000
413313011212300
5232230201032
621030402000
73160654566
oct767054660
9305137230
10131881392
1168497495
1238200300
1321426c36
141372da36
15b8a0e7c
hex7dc59b0

131881392 has 40 divisors (see below), whose sum is σ = 378549680. Its totient is φ = 43960320.

The previous prime is 131881381. The next prime is 131881397. The reversal of 131881392 is 293188131.

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

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131881397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152209 + ... + 153072.

It is an arithmetic number, because the mean of its divisors is an integer number (9463742).

Almost surely, 2131881392 is an apocalyptic number.

131881392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131881392 is an abundant number, since it is smaller than the sum of its proper divisors (246668288).

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

131881392 is a wasteful number, since it uses less digits than its factorization.

131881392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305298 (or 305286 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 131881392 is about 11483.9623823835. The cubic root of 131881392 is about 509.0117888328.

The spelling of 131881392 in words is "one hundred thirty-one million, eight hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 305281 610562 915843 1221124 1831686 2442248 2747529 3663372 4884496 5495058 7326744 8242587 10990116 14653488 16485174 21980232 32970348 43960464 65940696 131881392