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137999880 = 233251722549
BaseRepresentation
bin10000011100110…
…11011000001000
3100121200010020200
420032123120020
5240311444010
621405452200
73263660004
oct1016333010
9317603220
10137999880
1170996397
123a271060
1322789b45
1414483704
15c1adcc0
hex839b608

137999880 has 96 divisors (see below), whose sum is σ = 474903000. Its totient is φ = 34633728.

The previous prime is 137999843. The next prime is 137999881. The reversal of 137999880 is 88999731.

It can be written as a sum of positive squares in 4 ways, for example, as 137874564 + 125316 = 11742^2 + 354^2 .

It is not an unprimeable number, because it can be changed into a prime (137999881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5155 + ... + 17394.

Almost surely, 2137999880 is an apocalyptic number.

137999880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137999880 is an abundant number, since it is smaller than the sum of its proper divisors (336903120).

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

137999880 is a wasteful number, since it uses less digits than its factorization.

137999880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22583 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 137999880 is about 11747.3350169304. The cubic root of 137999880 is about 516.7647754494.

The spelling of 137999880 in words is "one hundred thirty-seven million, nine hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 22549 45098 67647 90196 112745 135294 180392 202941 225490 270588 338235 383333 405882 450980 541176 676470 766666 811764 901960 1014705 1149999 1352940 1533332 1623528 1916665 2029410 2299998 2705880 3066664 3449997 3833330 4058820 4599996 5749995 6899994 7666660 8117640 9199992 11499990 13799988 15333320 17249985 22999980 27599976 34499970 45999960 68999940 137999880