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131087968 = 2511372409
BaseRepresentation
bin1111101000000…
…11111001100000
3100010122221212221
413310003321200
5232024303333
621001400424
73151141444
oct764037140
9303587787
10131087968
1167aa5370
1237a99114
1321209a5b
14135a4824
15b795d2d
hex7d03e60

131087968 has 24 divisors (see below), whose sum is σ = 281541960. Its totient is φ = 59585280.

The previous prime is 131087941. The next prime is 131087977. The reversal of 131087968 is 869780131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185853 + ... + 186556.

It is an arithmetic number, because the mean of its divisors is an integer number (11730915).

Almost surely, 2131087968 is an apocalyptic number.

It is an amenable number.

131087968 is an abundant number, since it is smaller than the sum of its proper divisors (150453992).

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

131087968 is a wasteful number, since it uses less digits than its factorization.

131087968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372430 (or 372422 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 131087968 is about 11449.3653972611. The cubic root of 131087968 is about 507.9889637382.

The spelling of 131087968 in words is "one hundred thirty-one million, eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 372409 744818 1489636 2979272 4096499 5958544 8192998 11917088 16385996 32771992 65543984 131087968