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131330976 = 2537227919
BaseRepresentation
bin1111101001111…
…11001110100000
3100011010022020020
413310333032200
5232110042401
621010513440
73153203100
oct764771640
9304108206
10131330976
11681509a7
1237b95880
132129354a
1413629200
15b7e2d36
hex7d3f3a0

131330976 has 72 divisors (see below), whose sum is σ = 401042880. Its totient is φ = 37521792.

The previous prime is 131330957. The next prime is 131330977. The reversal of 131330976 is 679033131.

It is a super-2 number, since 2×1313309762 = 34495650514225152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131330977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9256 + ... + 18663.

It is an arithmetic number, because the mean of its divisors is an integer number (5570040).

Almost surely, 2131330976 is an apocalyptic number.

131330976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131330976 is an abundant number, since it is smaller than the sum of its proper divisors (269711904).

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

131330976 is a wasteful number, since it uses less digits than its factorization.

131330976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27946 (or 27931 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 131330976 is about 11459.9727748368. The cubic root of 131330976 is about 508.3026695708.

The spelling of 131330976 in words is "one hundred thirty-one million, three hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 27919 55838 83757 111676 167514 195433 223352 335028 390866 446704 586299 670056 781732 893408 1172598 1340112 1368031 1563464 2345196 2680224 2736062 3126928 4104093 4690392 5472124 6253856 8208186 9380784 10944248 16416372 18761568 21888496 32832744 43776992 65665488 131330976