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131977008 = 2432916507
BaseRepresentation
bin1111101110111…
…00111100110000
3100012100010102100
413313130330300
5232241231013
621032420400
73161533422
oct767347460
9305303370
10131977008
1168552309
1238247700
132145b607
1413756812
15b8be473
hex7ddcf30

131977008 has 30 divisors (see below), whose sum is σ = 369352724. Its totient is φ = 43992288.

The previous prime is 131977007. The next prime is 131977031. The reversal of 131977008 is 800779131.

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

It is not an unprimeable number, because it can be changed into a prime (131977007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458110 + ... + 458397.

Almost surely, 2131977008 is an apocalyptic number.

131977008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131977008 is an abundant number, since it is smaller than the sum of its proper divisors (237375716).

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

131977008 is a wasteful number, since it uses less digits than its factorization.

131977008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916521 (or 916512 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 131977008 is about 11488.1246511343. The cubic root of 131977008 is about 509.1347728594.

The spelling of 131977008 in words is "one hundred thirty-one million, nine hundred seventy-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 916507 1833014 2749521 3666028 5499042 7332056 8248563 10998084 14664112 16497126 21996168 32994252 43992336 65988504 131977008