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138788864 = 21443197
BaseRepresentation
bin10000100010111…
…00000000000000
3100200011012112022
420101130000000
5241012220424
621434421012
73303454154
oct1021340000
9320135468
10138788864
1171385145
123a591768
13229a4cb6
141460b064
15c2b795e
hex845c000

138788864 has 60 divisors (see below), whose sum is σ = 285466104. Its totient is φ = 67436544.

The previous prime is 138788849. The next prime is 138788873. The reversal of 138788864 is 468887831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 704414 + ... + 704610.

Almost surely, 2138788864 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 138788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142733052).

138788864 is an abundant number, since it is smaller than the sum of its proper divisors (146677240).

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

138788864 is an frugal number, since it uses more digits than its factorization.

138788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 242 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 53.

The square root of 138788864 is about 11780.8685588118. The cubic root of 138788864 is about 517.7477342350.

The spelling of 138788864 in words is "one hundred thirty-eight million, seven hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 197 256 344 394 512 688 788 1024 1376 1576 2048 2752 3152 4096 5504 6304 8192 8471 11008 12608 16384 16942 22016 25216 33884 44032 50432 67768 88064 100864 135536 176128 201728 271072 352256 403456 542144 704512 806912 1084288 1613824 2168576 3227648 4337152 8674304 17348608 34697216 69394432 138788864