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138393138 = 23131774271
BaseRepresentation
bin10000011111110…
…11011000110010
3100122102002200210
420033323120302
5240412040023
621422124550
73300215352
oct1017733062
9318362623
10138393138
11711348a4
123a420756
1322896b40
1414546b62
15c23a593
hex83fb632

138393138 has 16 divisors (see below), whose sum is σ = 298077696. Its totient is φ = 42582480.

The previous prime is 138393127. The next prime is 138393179. The reversal of 138393138 is 831393831.

It is a super-3 number, since 3×1383931383 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 138393096 and 138393105.

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, 887058 + ... + 887213.

It is an arithmetic number, because the mean of its divisors is an integer number (18629856).

Almost surely, 2138393138 is an apocalyptic number.

138393138 is an abundant number, since it is smaller than the sum of its proper divisors (159684558).

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

138393138 is a wasteful number, since it uses less digits than its factorization.

138393138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774289.

The product of its digits is 46656, while the sum is 39.

The square root of 138393138 is about 11764.0612885177. The cubic root of 138393138 is about 517.2551844429.

The spelling of 138393138 in words is "one hundred thirty-eight million, three hundred ninety-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 1774271 3548542 5322813 10645626 23065523 46131046 69196569 138393138