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131936496 = 2433188667
BaseRepresentation
bin1111101110100…
…11000011110000
3100012021001211220
413313103003300
5232233431441
621031505040
73161304336
oct767230360
9305231756
10131936496
116852492a
1238228180
1321446043
1413745b56
15b8b2466
hex7dd30f0

131936496 has 40 divisors (see below), whose sum is σ = 351834624. Its totient is φ = 42559680.

The previous prime is 131936491. The next prime is 131936501. The reversal of 131936496 is 694639131.

131936496 = 20152 + 20162 + ... + 20462.

It is an interprime number because it is at equal distance from previous prime (131936491) and next prime (131936501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131936491) 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, 42846 + ... + 45821.

Almost surely, 2131936496 is an apocalyptic number.

131936496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131936496 is an abundant number, since it is smaller than the sum of its proper divisors (219898128).

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

131936496 is a wasteful number, since it uses less digits than its factorization.

131936496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88709 (or 88703 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 131936496 is about 11486.3613037376. The cubic root of 131936496 is about 509.0826724239.

The spelling of 131936496 in words is "one hundred thirty-one million, nine hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 88667 177334 266001 354668 532002 709336 1064004 1418672 2128008 2748677 4256016 5497354 8246031 10994708 16492062 21989416 32984124 43978832 65968248 131936496