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137382040 = 23513924709
BaseRepresentation
bin10000011000001…
…00100010011000
3100120111201201201
420030010202120
5240132211130
621344323544
73255504505
oct1014044230
9316451651
10137382040
1170604184
123a0135b4
1322601863
14143624ac
15c0dabca
hex8304898

137382040 has 32 divisors (see below), whose sum is σ = 311346000. Its totient is φ = 54555264.

The previous prime is 137382001. The next prime is 137382053. The reversal of 137382040 is 40283731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6795 + ... + 17914.

Almost surely, 2137382040 is an apocalyptic number.

137382040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137382040 is an abundant number, since it is smaller than the sum of its proper divisors (173963960).

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

137382040 is a wasteful number, since it uses less digits than its factorization.

137382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24859 (or 24855 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 137382040 is about 11721.0084890337. The cubic root of 137382040 is about 515.9924182128.

The spelling of 137382040 in words is "one hundred thirty-seven million, three hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 24709 49418 98836 123545 197672 247090 494180 988360 3434551 6869102 13738204 17172755 27476408 34345510 68691020 137382040