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131997460 = 22572340993
BaseRepresentation
bin1111101111000…
…01111100010100
3100012101011110211
413313201330110
5232242404320
621033055204
73161650150
oct767417424
9305334424
10131997460
1168566711
1238257504
1321467a0a
1413760060
15b8c555a
hex7de1f14

131997460 has 48 divisors (see below), whose sum is σ = 330575616. Its totient is φ = 43287552.

The previous prime is 131997457. The next prime is 131997497. The reversal of 131997460 is 64799131.

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, 17277 + ... + 23716.

It is an arithmetic number, because the mean of its divisors is an integer number (6886992).

Almost surely, 2131997460 is an apocalyptic number.

131997460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131997460 is an abundant number, since it is smaller than the sum of its proper divisors (198578156).

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

131997460 is a wasteful number, since it uses less digits than its factorization.

131997460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41032 (or 41030 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 131997460 is about 11489.0147532328. The cubic root of 131997460 is about 509.1610710929.

The spelling of 131997460 in words is "one hundred thirty-one million, nine hundred ninety-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 40993 81986 163972 204965 286951 409930 573902 819860 942839 1147804 1434755 1885678 2869510 3771356 4714195 5739020 6599873 9428390 13199746 18856780 26399492 32999365 65998730 131997460