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138796596 = 2232191311549
BaseRepresentation
bin10000100010111…
…01111000110100
3100200011121010200
420101131320310
5241012442341
621434520500
73303515541
oct1021357064
9320147120
10138796596
117138aa34
123a596130
13229a8683
141460dbc8
15c2b9db6
hex845de34

138796596 has 72 divisors (see below), whose sum is σ = 372372000. Its totient is φ = 43467840.

The previous prime is 138796591. The next prime is 138796613. The reversal of 138796596 is 695697831.

It is a super-2 number, since 2×1387965962 = 38528990122374432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138796591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88830 + ... + 90378.

Almost surely, 2138796596 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 138796596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186186000).

138796596 is an abundant number, since it is smaller than the sum of its proper divisors (233575404).

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

138796596 is a wasteful number, since it uses less digits than its factorization.

138796596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 138796596 is about 11781.1967134073. The cubic root of 138796596 is about 517.7573487218.

The spelling of 138796596 in words is "one hundred thirty-eight million, seven hundred ninety-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1549 1572 2358 2489 3098 4647 4716 4978 6196 7467 9294 9956 13941 14934 18588 22401 27882 29431 29868 44802 55764 58862 88293 89604 117724 176586 202919 264879 353172 405838 529758 608757 811676 1059516 1217514 1826271 2435028 3652542 3855461 7305084 7710922 11566383 15421844 23132766 34699149 46265532 69398298 138796596