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138959104 = 28796871
BaseRepresentation
bin10000100100001…
…01100100000000
3100200110212001111
420102011210000
5241033142404
621442213104
73305063404
oct1022054400
9320425044
10138959104
1171491039
123a654194
1322a3462b
1414653104
15c2ed104
hex8485900

138959104 has 36 divisors (see below), whose sum is σ = 280927360. Its totient is φ = 68590080.

The previous prime is 138959083. The next prime is 138959111. The reversal of 138959104 is 401959831.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16789 + ... + 23659.

Almost surely, 2138959104 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 138959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140463680).

138959104 is an abundant number, since it is smaller than the sum of its proper divisors (141968256).

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

138959104 is an frugal number, since it uses more digits than its factorization.

138959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 138959104 is about 11788.0916182391. The cubic root of 138959104 is about 517.9593394936.

The spelling of 138959104 in words is "one hundred thirty-eight million, nine hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1264 2528 5056 6871 10112 13742 20224 27484 54968 109936 219872 439744 542809 879488 1085618 1758976 2171236 4342472 8684944 17369888 34739776 69479552 138959104