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131964432 = 24323119533
BaseRepresentation
bin1111101110110…
…01111000010000
3100012022111011120
413313121320100
5232240330212
621032242240
73161451645
oct767317020
9305274146
10131964432
1168543916
1238240380
1321455982
1413751dcc
15b8ba88c
hex7dd9e10

131964432 has 40 divisors (see below), whose sum is σ = 355733184. Its totient is φ = 42075264.

The previous prime is 131964419. The next prime is 131964433. The reversal of 131964432 is 234469131.

It is a super-2 number, since 2×1319644322 = 34829222626165248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131964393 and 131964402.

It is not an unprimeable number, because it can be changed into a prime (131964433) 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, 58663 + ... + 60870.

Almost surely, 2131964432 is an apocalyptic number.

131964432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131964432 is an abundant number, since it is smaller than the sum of its proper divisors (223768752).

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

131964432 is a wasteful number, since it uses less digits than its factorization.

131964432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119567 (or 119561 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 131964432 is about 11487.5772902732. The cubic root of 131964432 is about 509.1186006428.

The spelling of 131964432 in words is "one hundred thirty-one million, nine hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 119533 239066 358599 478132 717198 956264 1434396 1912528 2749259 2868792 5498518 5737584 8247777 10997036 16495554 21994072 32991108 43988144 65982216 131964432