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131245956 = 22323798533
BaseRepresentation
bin1111101001010…
…10011110000100
3100010221222121100
413310222132010
5232044332311
621005020100
73152400162
oct764523604
9303858540
10131245956
11680a3036
1237b54630
132126393a
1413606232
15b7c7a56
hex7d2a784

131245956 has 36 divisors (see below), whose sum is σ = 340730572. Its totient is φ = 42565824.

The previous prime is 131245943. The next prime is 131245957. The reversal of 131245956 is 659542131.

131245956 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 2 ways, for example, as 108493056 + 22752900 = 10416^2 + 4770^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131245956.

It is not an unprimeable number, because it can be changed into a prime (131245957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47935 + ... + 50598.

Almost surely, 2131245956 is an apocalyptic number.

It is an amenable number.

131245956 is an abundant number, since it is smaller than the sum of its proper divisors (209484616).

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

131245956 is a wasteful number, since it uses less digits than its factorization.

131245956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98580 (or 98575 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 131245956 is about 11456.2627414004. The cubic root of 131245956 is about 508.1929589165.

The spelling of 131245956 in words is "one hundred thirty-one million, two hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 98533 197066 295599 394132 591198 886797 1182396 1773594 3547188 3645721 7291442 10937163 14582884 21874326 32811489 43748652 65622978 131245956