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131307732 = 223212013037
BaseRepresentation
bin1111101001110…
…01100011010100
3100011002010100100
413310321203110
5232103321412
621010214100
73153045243
oct764714324
9304063310
10131307732
1168135496
1237b84330
1321285aaa
141362095a
15b7daedc
hex7d398d4

131307732 has 36 divisors (see below), whose sum is σ = 332302516. Its totient is φ = 43718400.

The previous prime is 131307721. The next prime is 131307749. The reversal of 131307732 is 237703131.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 88849476 = 6516^2 + 9426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 131307696 and 131307705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41718 + ... + 44754.

Almost surely, 2131307732 is an apocalyptic number.

131307732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131307732 is an abundant number, since it is smaller than the sum of its proper divisors (200994784).

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

131307732 is a wasteful number, since it uses less digits than its factorization.

131307732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 131307732 is about 11458.9585914253. The cubic root of 131307732 is about 508.2726799859.

The spelling of 131307732 in words is "one hundred thirty-one million, three hundred seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1201 2402 3037 3603 4804 6074 7206 9111 10809 12148 14412 18222 21618 27333 36444 43236 54666 109332 3647437 7294874 10942311 14589748 21884622 32826933 43769244 65653866 131307732