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137672324 = 22172777309
BaseRepresentation
bin10000011010010…
…11011010000100
3100121001110220222
420031023122010
5240221003244
621354443512
73261124016
oct1015133204
9317043828
10137672324
1170792289
123a133598
13226a3a1a
14143da1b6
15c146bee
hex834b684

137672324 has 24 divisors (see below), whose sum is σ = 256054680. Its totient is φ = 64544256.

The previous prime is 137672291. The next prime is 137672329. The reversal of 137672324 is 423276731.

137672324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 122988100 = 3832^2 + 11090^2 .

It is not an unprimeable number, because it can be changed into a prime (137672329) 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 7 ways as a sum of consecutive naturals, for example, 15182 + ... + 22490.

It is an arithmetic number, because the mean of its divisors is an integer number (10668945).

Almost surely, 2137672324 is an apocalyptic number.

It is an amenable number.

137672324 is a deficient number, since it is larger than the sum of its proper divisors (118382356).

137672324 is a wasteful number, since it uses less digits than its factorization.

137672324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7605 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 137672324 is about 11733.3850188256. The cubic root of 137672324 is about 516.3555878824.

The spelling of 137672324 in words is "one hundred thirty-seven million, six hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 17 34 68 277 554 1108 4709 7309 9418 14618 18836 29236 124253 248506 497012 2024593 4049186 8098372 34418081 68836162 137672324