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138139584 = 2631165407
BaseRepresentation
bin10000011101111…
…01011111000000
3100121221012212220
420032331133000
5240330431314
621412451040
73265111212
oct1016753700
9317835786
10138139584
1170a81350
123a319a80
13228085cb
14144bc5b2
15c1da3a9
hex83bd7c0

138139584 has 56 divisors (see below), whose sum is σ = 398727168. Its totient is φ = 41859840.

The previous prime is 138139577. The next prime is 138139597. The reversal of 138139584 is 485931831.

138139584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 30592 + ... + 34815.

It is an arithmetic number, because the mean of its divisors is an integer number (7120128).

Almost surely, 2138139584 is an apocalyptic number.

It is an amenable number.

138139584 is an abundant number, since it is smaller than the sum of its proper divisors (260587584).

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

138139584 is a wasteful number, since it uses less digits than its factorization.

138139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65433 (or 65423 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 138139584 is about 11753.2797124888. The cubic root of 138139584 is about 516.9390986880.

The spelling of 138139584 in words is "one hundred thirty-eight million, one hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 65407 130814 196221 261628 392442 523256 719477 784884 1046512 1438954 1569768 2093024 2158431 2877908 3139536 4186048 4316862 5755816 6279072 8633724 11511632 12558144 17267448 23023264 34534896 46046528 69069792 138139584