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131372520 = 23354723293
BaseRepresentation
bin1111101010010…
…01010111101000
3100011012102012220
413311021113220
5232112410040
621011434040
73153435156
oct765112750
9304172186
10131372520
116817a134
1237bb5920
13212a9426
141363a3d6
15b8002d0
hex7d495e8

131372520 has 64 divisors (see below), whose sum is σ = 402520320. Its totient is φ = 34285824.

The previous prime is 131372519. The next prime is 131372543. The reversal of 131372520 is 25273131.

It is a super-2 number, since 2×1313725202 = 34517478022300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007 + ... + 17286.

It is an arithmetic number, because the mean of its divisors is an integer number (6289380).

Almost surely, 2131372520 is an apocalyptic number.

131372520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131372520 is an abundant number, since it is smaller than the sum of its proper divisors (271147800).

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

131372520 is a wasteful number, since it uses less digits than its factorization.

131372520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23354 (or 23350 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 131372520 is about 11461.7852012677. The cubic root of 131372520 is about 508.3562611415.

The spelling of 131372520 in words is "one hundred thirty-one million, three hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 23293 46586 69879 93172 116465 139758 186344 232930 279516 349395 465860 559032 698790 931720 1094771 1397580 2189542 2795160 3284313 4379084 5473855 6568626 8758168 10947710 13137252 16421565 21895420 26274504 32843130 43790840 65686260 131372520