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138696792 = 233132915329
BaseRepresentation
bin10000100010001…
…01100001011000
3100122222112020020
420101011201120
5241001244132
621432430440
73302621553
oct1021054130
9318875206
10138696792
1171321a53
123a548420
1322972110
14145c569a
15c29a52c
hex8445858

138696792 has 64 divisors (see below), whose sum is σ = 386316000. Its totient is φ = 41201664.

The previous prime is 138696791. The next prime is 138696793. The reversal of 138696792 is 297696831.

It is an interprime number because it is at equal distance from previous prime (138696791) and next prime (138696793).

It is a super-2 number, since 2×1386967922 = 38473600222182528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138696791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 16712.

Almost surely, 2138696792 is an apocalyptic number.

138696792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138696792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193158000).

138696792 is an abundant number, since it is smaller than the sum of its proper divisors (247619208).

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

138696792 is a wasteful number, since it uses less digits than its factorization.

138696792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15376 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 138696792 is about 11776.9602190039. The cubic root of 138696792 is about 517.6332182878.

The spelling of 138696792 in words is "one hundred thirty-eight million, six hundred ninety-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 15329 30658 45987 61316 91974 122632 183948 199277 367896 398554 444541 597831 797108 889082 1195662 1333623 1594216 1778164 2391324 2667246 3556328 4782648 5334492 5779033 10668984 11558066 17337099 23116132 34674198 46232264 69348396 138696792