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131660412 = 223137111887
BaseRepresentation
bin1111101100011…
…11101001111100
3100011202001010120
413312033221330
5232201113122
621021534540
73156044412
oct766175174
9304661116
10131660412
1168356464
1238114450
132137a490
14136b32b2
15b85a75c
hex7d8fa7c

131660412 has 48 divisors (see below), whose sum is σ = 335526912. Its totient is φ = 39936960.

The previous prime is 131660411. The next prime is 131660449. The reversal of 131660412 is 214066131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131660411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5133 + ... + 17019.

It is an arithmetic number, because the mean of its divisors is an integer number (6990144).

Almost surely, 2131660412 is an apocalyptic number.

131660412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131660412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167763456).

131660412 is an abundant number, since it is smaller than the sum of its proper divisors (203866500).

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

131660412 is a wasteful number, since it uses less digits than its factorization.

131660412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11978 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 131660412 is about 11474.3371050357. The cubic root of 131660412 is about 508.7273304357.

The spelling of 131660412 in words is "one hundred thirty-one million, six hundred sixty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 11887 23774 35661 47548 71322 142644 154531 309062 463593 618124 843977 927186 1687954 1854372 2531931 3375908 5063862 10127724 10971701 21943402 32915103 43886804 65830206 131660412