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131966520 = 23357157103
BaseRepresentation
bin1111101110110…
…10011000111000
3100012022121000220
413313122120320
5232240412040
621032300040
73161461020
oct767323070
9305277026
10131966520
1168545444
1238241620
13214568ca
1413752a80
15b8bb2d0
hex7dda638

131966520 has 64 divisors (see below), whose sum is σ = 452459520. Its totient is φ = 30163584.

The previous prime is 131966503. The next prime is 131966543. The reversal of 131966520 is 25669131.

It is a happy number.

It is a congruent number.

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, 77712 + ... + 79391.

It is an arithmetic number, because the mean of its divisors is an integer number (7069680).

Almost surely, 2131966520 is an apocalyptic number.

131966520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131966520 is an abundant number, since it is smaller than the sum of its proper divisors (320493000).

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

131966520 is a wasteful number, since it uses less digits than its factorization.

131966520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157124 (or 157120 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 131966520 is about 11487.6681706950. The cubic root of 131966520 is about 509.1212857957.

The spelling of 131966520 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 157103 314206 471309 628412 785515 942618 1099721 1256824 1571030 1885236 2199442 2356545 3142060 3299163 3770472 4398884 4713090 5498605 6284120 6598326 8797768 9426180 10997210 13196652 16495815 18852360 21994420 26393304 32991630 43988840 65983260 131966520