Search a number
-
+
131955972 = 22317646843
BaseRepresentation
bin1111101110101…
…11110100000100
3100012022001120020
413313113310010
5232240042342
621032135140
73161415201
oct767276404
9305261506
10131955972
1168538525
12382374b0
1321451b75
141374cca8
15b8b80ec
hex7dd7d04

131955972 has 24 divisors (see below), whose sum is σ = 326009376. Its totient is φ = 41397888.

The previous prime is 131955961. The next prime is 131955977. The reversal of 131955972 is 279559131.

It is not an unprimeable number, because it can be changed into a prime (131955977) 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, 323218 + ... + 323625.

It is an arithmetic number, because the mean of its divisors is an integer number (13583724).

Almost surely, 2131955972 is an apocalyptic number.

131955972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131955972 is an abundant number, since it is smaller than the sum of its proper divisors (194053404).

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

131955972 is a wasteful number, since it uses less digits than its factorization.

131955972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646867 (or 646865 counting only the distinct ones).

The product of its digits is 85050, while the sum is 42.

The square root of 131955972 is about 11487.2090605160. The cubic root of 131955972 is about 509.1077208541.

It can be divided in two parts, 1319 and 55972, that added together give a triangular number (57291 = T338).

The spelling of 131955972 in words is "one hundred thirty-one million, nine hundred fifty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 646843 1293686 1940529 2587372 3881058 7762116 10996331 21992662 32988993 43985324 65977986 131955972