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131359632 = 2432819739
BaseRepresentation
bin1111101010001…
…10001110010000
3100011011202112120
413311012032100
5232112002012
621011254240
73153352455
oct765061620
9304152476
10131359632
1168170488
1237baa380
13212a35c1
141363582c
15b7eb58c
hex7d46390

131359632 has 40 divisors (see below), whose sum is σ = 340588320. Its totient is φ = 43626240.

The previous prime is 131359621. The next prime is 131359633. The reversal of 131359632 is 236953131.

It is a junction number, because it is equal to n+sod(n) for n = 131359593 and 131359602.

It is not an unprimeable number, because it can be changed into a prime (131359633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8619 + ... + 18357.

It is an arithmetic number, because the mean of its divisors is an integer number (8514708).

Almost surely, 2131359632 is an apocalyptic number.

131359632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131359632 is an abundant number, since it is smaller than the sum of its proper divisors (209228688).

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

131359632 is a wasteful number, since it uses less digits than its factorization.

131359632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 10025 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 131359632 is about 11461.2229713936. Note that the first 3 decimals coincide. The cubic root of 131359632 is about 508.3396368892.

The spelling of 131359632 in words is "one hundred thirty-one million, three hundred fifty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 1124 1686 2248 3372 4496 6744 9739 13488 19478 29217 38956 58434 77912 116868 155824 233736 467472 2736659 5473318 8209977 10946636 16419954 21893272 32839908 43786544 65679816 131359632