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138795936 = 2539371543
BaseRepresentation
bin10000100010111…
…01101110100000
3100200011120020020
420101131232200
5241012432221
621434513440
73303513606
oct1021355640
9320146206
10138795936
117138a494
123a595880
13229a8296
141460d876
15c2b9ac6
hex845dba0

138795936 has 48 divisors (see below), whose sum is σ = 364964544. Its totient is φ = 46185984.

The previous prime is 138795919. The next prime is 138795949. The reversal of 138795936 is 639597831.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89181 + ... + 90723.

It is an arithmetic number, because the mean of its divisors is an integer number (7603428).

Almost surely, 2138795936 is an apocalyptic number.

138795936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138795936 is an abundant number, since it is smaller than the sum of its proper divisors (226168608).

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

138795936 is a wasteful number, since it uses less digits than its factorization.

138795936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2485 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 138795936 is about 11781.1687026373. The cubic root of 138795936 is about 517.7565280476.

The spelling of 138795936 in words is "one hundred thirty-eight million, seven hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 937 1543 1874 2811 3086 3748 4629 5622 6172 7496 9258 11244 12344 14992 18516 22488 24688 29984 37032 44976 49376 74064 89952 148128 1445791 2891582 4337373 5783164 8674746 11566328 17349492 23132656 34698984 46265312 69397968 138795936