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138597872 = 24721710399
BaseRepresentation
bin10000100001011…
…01010111110000
3100122210111112112
420100231113300
5240440112442
621430344452
73302030300
oct1020552760
9318714475
10138597872
11712646a6
123a4bb128
132293909a
141459b600
15c27b082
hex842d5f0

138597872 has 60 divisors (see below), whose sum is σ = 330782400. Its totient is φ = 55899648.

The previous prime is 138597871. The next prime is 138597881. The reversal of 138597872 is 278795831.

It is a self number, because there is not a number n which added to its sum of digits gives 138597872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138597871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8129 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2138597872 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 138597872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165391200).

138597872 is an abundant number, since it is smaller than the sum of its proper divisors (192184528).

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

138597872 is a wasteful number, since it uses less digits than its factorization.

138597872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438 (or 10425 counting only the distinct ones).

The product of its digits is 846720, while the sum is 50.

The square root of 138597872 is about 11772.7597444270. The cubic root of 138597872 is about 517.5101285484.

The spelling of 138597872 in words is "one hundred thirty-eight million, five hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 6664 10399 13328 20798 41596 72793 83192 145586 166384 176783 291172 353566 509551 582344 707132 1019102 1164688 1237481 1414264 2038204 2474962 2828528 4076408 4949924 8152816 8662367 9899848 17324734 19799696 34649468 69298936 138597872