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131525532 = 22341723879
BaseRepresentation
bin1111101011011…
…10101110011100
3100011111012010000
413311232232130
5232132304112
621015014300
73154643235
oct765565634
9304435100
10131525532
1168274096
123806a390
1321330c78
141367a08c
15b8307dc
hex7d6eb9c

131525532 has 60 divisors (see below), whose sum is σ = 364074480. Its totient is φ = 41261184.

The previous prime is 131525531. The next prime is 131525539. The reversal of 131525532 is 235525131.

It is a happy number.

131525532 is a `hidden beast` number, since 131 + 525 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131525496 and 131525505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131525531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6432 + ... + 17447.

It is an arithmetic number, because the mean of its divisors is an integer number (6067908).

Almost surely, 2131525532 is an apocalyptic number.

131525532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131525532 is an abundant number, since it is smaller than the sum of its proper divisors (232548948).

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

131525532 is a wasteful number, since it uses less digits than its factorization.

131525532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23912 (or 23901 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 131525532 is about 11468.4581352508. The cubic root of 131525532 is about 508.5535485415.

The spelling of 131525532 in words is "one hundred thirty-one million, five hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 23879 47758 71637 95516 143274 214911 286548 405943 429822 644733 811886 859644 1217829 1289466 1623772 1934199 2435658 2578932 3653487 3868398 4871316 7306974 7736796 10960461 14613948 21920922 32881383 43841844 65762766 131525532