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131973864 = 233113791319
BaseRepresentation
bin1111101110111…
…00001011101000
3100012022222002220
413313130023220
5232241130424
621032354040
73161521311
oct767341350
9305288086
10131973864
116854aa10
1238245920
132145a059
1413755608
15b8bd579
hex7ddc2e8

131973864 has 64 divisors (see below), whose sum is σ = 361152000. Its totient is φ = 39856320.

The previous prime is 131973841. The next prime is 131973871. The reversal of 131973864 is 468379131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99397 + ... + 100715.

It is an arithmetic number, because the mean of its divisors is an integer number (5643000).

Almost surely, 2131973864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131973864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576000).

131973864 is an abundant number, since it is smaller than the sum of its proper divisors (229178136).

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

131973864 is a wasteful number, since it uses less digits than its factorization.

131973864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1714 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 131973864 is about 11487.9878133640. The cubic root of 131973864 is about 509.1307299015.

The spelling of 131973864 in words is "one hundred thirty-one million, nine hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 758 1137 1319 1516 2274 2638 3032 3957 4169 4548 5276 7914 8338 9096 10552 12507 14509 15828 16676 25014 29018 31656 33352 43527 50028 58036 87054 100056 116072 174108 348216 499901 999802 1499703 1999604 2999406 3999208 5498911 5998812 10997822 11997624 16496733 21995644 32993466 43991288 65986932 131973864