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131614496 = 2513224337
BaseRepresentation
bin1111101100001…
…00011100100000
3100011122201010222
413312010130200
5232143130441
621020542212
73155463506
oct766043440
9304581128
10131614496
1168324a12
12380b1968
1321362600
14136a0676
15b84bd4b
hex7d84720

131614496 has 36 divisors (see below), whose sum is σ = 280592802. Its totient is φ = 60742656.

The previous prime is 131614489. The next prime is 131614507. The reversal of 131614496 is 694416131.

131614496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 111936400 + 19678096 = 10580^2 + 4436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6761 + ... + 17576.

Almost surely, 2131614496 is an apocalyptic number.

131614496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131614496 is an abundant number, since it is smaller than the sum of its proper divisors (148978306).

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

131614496 is a wasteful number, since it uses less digits than its factorization.

131614496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24373 (or 24352 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 131614496 is about 11472.3361178097. The cubic root of 131614496 is about 508.6681847398.

The spelling of 131614496 in words is "one hundred thirty-one million, six hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 24337 48674 97348 194696 316381 389392 632762 778784 1265524 2531048 4112953 5062096 8225906 10124192 16451812 32903624 65807248 131614496