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131368864 = 2511373207
BaseRepresentation
bin1111101010010…
…00011110100000
3100011012020012111
413311020132200
5232112300424
621011405104
73153421414
oct765103640
9304166174
10131368864
1168177410
1237bb3794
13212a7873
1413638d44
15b7ee194
hex7d487a0

131368864 has 24 divisors (see below), whose sum is σ = 282145248. Its totient is φ = 59712960.

The previous prime is 131368849. The next prime is 131368873. The reversal of 131368864 is 468863131.

It is a happy 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, 186252 + ... + 186955.

It is an arithmetic number, because the mean of its divisors is an integer number (11756052).

Almost surely, 2131368864 is an apocalyptic number.

It is an amenable number.

131368864 is an abundant number, since it is smaller than the sum of its proper divisors (150776384).

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

131368864 is a wasteful number, since it uses less digits than its factorization.

131368864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373228 (or 373220 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 131368864 is about 11461.6257136586. The cubic root of 131368864 is about 508.3515453716.

The spelling of 131368864 in words is "one hundred thirty-one million, three hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 373207 746414 1492828 2985656 4105277 5971312 8210554 11942624 16421108 32842216 65684432 131368864