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138856104 = 233219101503
BaseRepresentation
bin10000100011011…
…00011010101000
3100200021121202200
420101230122220
5241021343404
621440100200
73304154202
oct1021543250
9320247680
10138856104
1171420712
123a604660
13229c979a
1414627772
15c2cc839
hex846c6a8

138856104 has 48 divisors (see below), whose sum is σ = 395865600. Its totient is φ = 43848864.

The previous prime is 138856103. The next prime is 138856121. The reversal of 138856104 is 401658831.

138856104 is a `hidden beast` number, since 1 + 38 + 8 + 5 + 610 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138856103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49384 + ... + 52119.

It is an arithmetic number, because the mean of its divisors is an integer number (8247200).

Almost surely, 2138856104 is an apocalyptic number.

It is an amenable number.

138856104 is an abundant number, since it is smaller than the sum of its proper divisors (257009496).

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

138856104 is a wasteful number, since it uses less digits than its factorization.

138856104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101534 (or 101527 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138856104 is about 11783.7219926473. The cubic root of 138856104 is about 517.8313330100.

The spelling of 138856104 in words is "one hundred thirty-eight million, eight hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 101503 203006 304509 406012 609018 812024 913527 1218036 1827054 1928557 2436072 3654108 3857114 5785671 7308216 7714228 11571342 15428456 17357013 23142684 34714026 46285368 69428052 138856104