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131252920 = 23517251769
BaseRepresentation
bin1111101001011…
…00001010111000
3100010222100011021
413310230022320
5232100043140
621005112224
73152426401
oct764541270
9303870137
10131252920
11680a8297
1237b58674
1321266b66
14136089a8
15b7c9b4a
hex7d2c2b8

131252920 has 64 divisors (see below), whose sum is σ = 314344800. Its totient is φ = 49152000.

The previous prime is 131252911. The next prime is 131252921. The reversal of 131252920 is 29252131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252921) 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, 170296 + ... + 171064.

Almost surely, 2131252920 is an apocalyptic number.

131252920 is a gapful number since it is divisible by the number (10) 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 131252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157172400).

131252920 is an abundant number, since it is smaller than the sum of its proper divisors (183091880).

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

131252920 is a wasteful number, since it uses less digits than its factorization.

131252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 131252920 is about 11456.5666759287. The cubic root of 131252920 is about 508.2019471126.

The spelling of 131252920 in words is "one hundred thirty-one million, two hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 251 340 502 680 769 1004 1255 1538 2008 2510 3076 3845 4267 5020 6152 7690 8534 10040 13073 15380 17068 21335 26146 30760 34136 42670 52292 65365 85340 104584 130730 170680 193019 261460 386038 522920 772076 965095 1544152 1930190 3281323 3860380 6562646 7720760 13125292 16406615 26250584 32813230 65626460 131252920