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138039570 = 232510314891
BaseRepresentation
bin10000011101001…
…01000100010010
3100121202010200200
420032211010102
5240314231240
621410400030
73264213504
oct1016450422
9317663620
10138039570
1170a13199
123a290016
13227a1c26
1414493d74
15c1ba930
hex83a5112

138039570 has 48 divisors (see below), whose sum is σ = 362411712. Its totient is φ = 36450720.

The previous prime is 138039533. The next prime is 138039571. The reversal of 138039570 is 75930831.

138039570 is a `hidden beast` number, since 1 + 3 + 80 + 3 + 9 + 570 = 666.

It is not an unprimeable number, because it can be changed into a prime (138039571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825 + ... + 16715.

It is an arithmetic number, because the mean of its divisors is an integer number (7550244).

Almost surely, 2138039570 is an apocalyptic number.

138039570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138039570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181205856).

138039570 is an abundant number, since it is smaller than the sum of its proper divisors (224372142).

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

138039570 is a wasteful number, since it uses less digits than its factorization.

138039570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15007 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 138039570 is about 11749.0242148018. The cubic root of 138039570 is about 516.8143127580.

The spelling of 138039570 in words is "one hundred thirty-eight million, thirty-nine thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 14891 29782 44673 74455 89346 134019 148910 223365 268038 446730 670095 1340190 1533773 3067546 4601319 7668865 9202638 13803957 15337730 23006595 27607914 46013190 69019785 138039570