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131676864 = 2631162347
BaseRepresentation
bin1111101100100…
…11101011000000
3100011202212200220
413312103223000
5232202124424
621022143040
73156143364
oct766235300
9304685626
10131676864
1168367860
1238121a80
1321384b07
14136b92a4
15b860579
hex7d93ac0

131676864 has 56 divisors (see below), whose sum is σ = 380073408. Its totient is φ = 39901440.

The previous prime is 131676847. The next prime is 131676869. The reversal of 131676864 is 468676131.

It is not an unprimeable number, because it can be changed into a prime (131676869) 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, 29062 + ... + 33285.

Almost surely, 2131676864 is an apocalyptic number.

It is an amenable number.

131676864 is an abundant number, since it is smaller than the sum of its proper divisors (248396544).

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

131676864 is a wasteful number, since it uses less digits than its factorization.

131676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62373 (or 62363 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 131676864 is about 11475.0539868011. The cubic root of 131676864 is about 508.7485193750.

The spelling of 131676864 in words is "one hundred thirty-one million, six hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62347 124694 187041 249388 374082 498776 685817 748164 997552 1371634 1496328 1995104 2057451 2743268 2992656 3990208 4114902 5486536 5985312 8229804 10973072 11970624 16459608 21946144 32919216 43892288 65838432 131676864