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137015382 = 23721115461
BaseRepresentation
bin10000010101010…
…11000001010110
3100112211002202210
420022223001112
5240033443012
621332414250
73252416520
oct1012530126
9315732683
10137015382
1170383759
1239a77386
13225039ba
14142a8a10
15c06723c
hex82ab056

137015382 has 32 divisors (see below), whose sum is σ = 314682624. Its totient is φ = 38959200.

The previous prime is 137015377. The next prime is 137015383. The reversal of 137015382 is 283510731.

137015382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137015383) 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 15 ways as a sum of consecutive naturals, for example, 1132 + ... + 16592.

It is an arithmetic number, because the mean of its divisors is an integer number (9833832).

Almost surely, 2137015382 is an apocalyptic number.

137015382 is an abundant number, since it is smaller than the sum of its proper divisors (177667242).

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

137015382 is a wasteful number, since it uses less digits than its factorization.

137015382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 137015382 is about 11705.3569787512. The cubic root of 137015382 is about 515.5329663324.

The spelling of 137015382 in words is "one hundred thirty-seven million, fifteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 211 422 633 1266 1477 2954 4431 8862 15461 30922 46383 92766 108227 216454 324681 649362 3262271 6524542 9786813 19573626 22835897 45671794 68507691 137015382