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138735936 = 263380287
BaseRepresentation
bin10000100010011…
…11000101000000
3100200001111221000
420101033011000
5241004022221
621433332000
73303143643
oct1021170500
9320044830
10138735936
11713493a9
123a567000
1322986b91
14145d5a5a
15c2a6e26
hex844f140

138735936 has 56 divisors (see below), whose sum is σ = 407863040. Its totient is φ = 46244736.

The previous prime is 138735901. The next prime is 138735937. The reversal of 138735936 is 639537831.

It is a junction number, because it is equal to n+sod(n) for n = 138735891 and 138735900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138735937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38416 + ... + 41871.

Almost surely, 2138735936 is an apocalyptic number.

138735936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138735936 is an abundant number, since it is smaller than the sum of its proper divisors (269127104).

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

138735936 is an equidigital number, since it uses as much as digits as its factorization.

138735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80308 (or 80292 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 138735936 is about 11778.6219907084. The cubic root of 138735936 is about 517.6819104229.

The spelling of 138735936 in words is "one hundred thirty-eight million, seven hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 80287 160574 240861 321148 481722 642296 722583 963444 1284592 1445166 1926888 2167749 2569184 2890332 3853776 4335498 5138368 5780664 7707552 8670996 11561328 15415104 17341992 23122656 34683984 46245312 69367968 138735936