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131486752 = 2537111053
BaseRepresentation
bin1111101011001…
…01010000100000
3100011102012220201
413311211100200
5232130034002
621014114544
73154422205
oct765452040
9304365821
10131486752
1168247a41
123804ba54
1321319417
1413669cac
15b824087
hex7d65420

131486752 has 24 divisors (see below), whose sum is σ = 265863276. Its totient is φ = 63965952.

The previous prime is 131486743. The next prime is 131486753. The reversal of 131486752 is 257684131.

It can be written as a sum of positive squares in 2 ways, for example, as 114147856 + 17338896 = 10684^2 + 4164^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (131486753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54343 + ... + 56710.

Almost surely, 2131486752 is an apocalyptic number.

It is an amenable number.

131486752 is an abundant number, since it is smaller than the sum of its proper divisors (134376524).

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

131486752 is a wasteful number, since it uses less digits than its factorization.

131486752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111100 (or 111092 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 131486752 is about 11466.7672863802. The cubic root of 131486752 is about 508.5035616810.

It can be divided in two parts, 13148 and 6752, that added together give a triangular number (19900 = T199).

The spelling of 131486752 in words is "one hundred thirty-one million, four hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 111053 222106 444212 888424 1776848 3553696 4108961 8217922 16435844 32871688 65743376 131486752