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137626290 = 2345169909
BaseRepresentation
bin10000011010000…
…00001010110010
3100120222010210000
420031000022302
5240213020130
621353450430
73260542554
oct1015001262
9316863700
10137626290
117076073a
123a110a16
1322688a99
14143c74d4
15c138260
hex83402b2

137626290 has 40 divisors (see below), whose sum is σ = 370063980. Its totient is φ = 36700128.

The previous prime is 137626261. The next prime is 137626297. The reversal of 137626290 is 92626731.

137626290 is a `hidden beast` number, since 1 + 3 + 7 + 626 + 29 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123943689 + 13682601 = 11133^2 + 3699^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137626297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84145 + ... + 85764.

Almost surely, 2137626290 is an apocalyptic number.

137626290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137626290 is an abundant number, since it is smaller than the sum of its proper divisors (232437690).

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

137626290 is a wasteful number, since it uses less digits than its factorization.

137626290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169928 (or 169919 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 137626290 is about 11731.4231873205. The cubic root of 137626290 is about 516.2980295626.

The spelling of 137626290 in words is "one hundred thirty-seven million, six hundred twenty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 169909 339818 509727 849545 1019454 1529181 1699090 2548635 3058362 4587543 5097270 7645905 9175086 13762629 15291810 22937715 27525258 45875430 68813145 137626290