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131270976 = 263375967
BaseRepresentation
bin1111101001100…
…00100101000000
3100011000020221000
413310300211000
5232101132401
621005332000
73152533134
oct764604500
9304006830
10131270976
116810a911
1237b67000
1321272145
14136113c4
15b7d0186
hex7d30940

131270976 has 56 divisors (see below), whose sum is σ = 385917440. Its totient is φ = 43756416.

The previous prime is 131270939. The next prime is 131271001. The reversal of 131270976 is 679072131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131270976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36256 + ... + 39711.

Almost surely, 2131270976 is an apocalyptic number.

131270976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131270976 is an abundant number, since it is smaller than the sum of its proper divisors (254646464).

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

131270976 is an equidigital number, since it uses as much as digits as its factorization.

131270976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75988 (or 75972 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 131270976 is about 11457.3546685088. The cubic root of 131270976 is about 508.2252498923.

The spelling of 131270976 in words is "one hundred thirty-one million, two hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 75967 151934 227901 303868 455802 607736 683703 911604 1215472 1367406 1823208 2051109 2430944 2734812 3646416 4102218 4861888 5469624 7292832 8204436 10939248 14585664 16408872 21878496 32817744 43756992 65635488 131270976