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138654568 = 231329311483
BaseRepresentation
bin10000100001110…
…11001101101000
3100122220101022101
420100323031220
5240443421233
621431503144
73302354503
oct1020731550
9318811271
10138654568
11712a3258
123a527ab4
1322958b30
14145b413a
15c28cc7d
hex843b368

138654568 has 64 divisors (see below), whose sum is σ = 299174400. Its totient is φ = 59754240.

The previous prime is 138654563. The next prime is 138654569. The reversal of 138654568 is 865456831.

138654568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138654563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92755 + ... + 94237.

It is an arithmetic number, because the mean of its divisors is an integer number (4674600).

Almost surely, 2138654568 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 138654568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149587200).

138654568 is an abundant number, since it is smaller than the sum of its proper divisors (160519832).

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

138654568 is a wasteful number, since it uses less digits than its factorization.

138654568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1558 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The square root of 138654568 is about 11775.1674298075. The cubic root of 138654568 is about 517.5806845965.

The spelling of 138654568 in words is "one hundred thirty-eight million, six hundred fifty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1483 1508 1612 1798 2966 3016 3224 3596 5932 7192 11687 11864 19279 23374 38558 43007 45973 46748 77116 86014 91946 93496 154232 172028 183892 344056 367784 559091 597649 1118182 1195298 1333217 2236364 2390596 2666434 4472728 4781192 5332868 10665736 17331821 34663642 69327284 138654568