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138697424 = 24174112437
BaseRepresentation
bin10000100010001…
…01101011010000
3100122222120002122
420101011223100
5241001304144
621432433412
73302623445
oct1021055320
9318876078
10138697424
1171322478
123a548868
13229724a8
14145c59cc
15c29a7ee
hex8445ad0

138697424 has 40 divisors (see below), whose sum is σ = 291496968. Its totient is φ = 63672320.

The previous prime is 138697417. The next prime is 138697453. The reversal of 138697424 is 424796831.

It can be written as a sum of positive squares in 4 ways, for example, as 211600 + 138485824 = 460^2 + 11768^2 .

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, 4934 + ... + 17370.

Almost surely, 2138697424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138697424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145748484).

138697424 is an abundant number, since it is smaller than the sum of its proper divisors (152799544).

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

138697424 is a wasteful number, since it uses less digits than its factorization.

138697424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12503 (or 12497 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 138697424 is about 11776.9870510246. The cubic root of 138697424 is about 517.6340045201.

The spelling of 138697424 in words is "one hundred thirty-eight million, six hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 12437 24874 49748 99496 198992 211429 422858 509917 845716 1019834 1691432 2039668 3382864 4079336 8158672 8668589 17337178 34674356 69348712 138697424