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138795690 = 23511420593
BaseRepresentation
bin10000100010111…
…01101010101010
3100200011112220010
420101131222222
5241012430230
621434512350
73303513105
oct1021355252
9320145803
10138795690
117138a290
123a5956b6
13229a8137
141460d73c
15c2b99b0
hex845daaa

138795690 has 32 divisors (see below), whose sum is σ = 363393216. Its totient is φ = 33647360.

The previous prime is 138795673. The next prime is 138795691. The reversal of 138795690 is 96597831.

It is a super-4 number, since 4×1387956904 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (138795691) 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 15 ways as a sum of consecutive naturals, for example, 209967 + ... + 210626.

It is an arithmetic number, because the mean of its divisors is an integer number (11356038).

Almost surely, 2138795690 is an apocalyptic number.

138795690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138795690 is an abundant number, since it is smaller than the sum of its proper divisors (224597526).

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

138795690 is a wasteful number, since it uses less digits than its factorization.

138795690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420614.

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 138795690 is about 11781.1582622423. The cubic root of 138795690 is about 517.7562221592.

The spelling of 138795690 in words is "one hundred thirty-eight million, seven hundred ninety-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 420593 841186 1261779 2102965 2523558 4205930 4626523 6308895 9253046 12617790 13879569 23132615 27759138 46265230 69397845 138795690