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137031324 = 22340128477
BaseRepresentation
bin10000010101011…
…10111010011100
3100112211220122020
420022232322130
5240040000244
621333020140
73252514143
oct1012567234
9315756566
10137031324
1170394731
1239a84650
132250b031
14142b075a
15c06bd19
hex82aee9c

137031324 has 24 divisors (see below), whose sum is σ = 320548368. Its totient is φ = 45561600.

The previous prime is 137031319. The next prime is 137031359. The reversal of 137031324 is 423130731.

137031324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137031294 and 137031303.

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, 9427 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (13356182).

Almost surely, 2137031324 is an apocalyptic number.

It is an amenable number.

137031324 is an abundant number, since it is smaller than the sum of its proper divisors (183517044).

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

137031324 is a wasteful number, since it uses less digits than its factorization.

137031324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28885 (or 28883 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137031324 is about 11706.0379292056. The cubic root of 137031324 is about 515.5529599704.

The spelling of 137031324 in words is "one hundred thirty-seven million, thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 401 802 1203 1604 2406 4812 28477 56954 85431 113908 170862 341724 11419277 22838554 34257831 45677108 68515662 137031324