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137290938 = 2328198117
BaseRepresentation
bin10000010111011…
…10010010111010
3100120100002202120
420023232102322
5240121302223
621342342110
73254645061
oct1013562272
9316302676
10137290938
1170551794
1239b8a936
132259c255
141433b1d8
15c0bdbe3
hex82ee4ba

137290938 has 16 divisors (see below), whose sum is σ = 274713120. Its totient is φ = 45741776.

The previous prime is 137290927. The next prime is 137290939. The reversal of 137290938 is 839092731.

137290938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 137290938.

It is not an unprimeable number, because it can be changed into a prime (137290939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12856 + ... + 20972.

It is an arithmetic number, because the mean of its divisors is an integer number (17169570).

Almost surely, 2137290938 is an apocalyptic number.

137290938 is an abundant number, since it is smaller than the sum of its proper divisors (137422182).

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

137290938 is a wasteful number, since it uses less digits than its factorization.

137290938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 137290938 is about 11717.1215748579. The cubic root of 137290938 is about 515.8783364986.

The spelling of 137290938 in words is "one hundred thirty-seven million, two hundred ninety thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 2819 5638 8117 8457 16234 16914 24351 48702 22881823 45763646 68645469 137290938