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138587568 = 2437412463
BaseRepresentation
bin10000100001010…
…10110110110000
3100122202222101220
420100222312300
5240434300233
621430225040
73301655250
oct1020526660
9318688356
10138587568
1171257989
123a4b5180
13229344a2
1414597960
15c277eb3
hex842adb0

138587568 has 40 divisors (see below), whose sum is σ = 409164288. Its totient is φ = 39596352.

The previous prime is 138587513. The next prime is 138587569. The reversal of 138587568 is 865785831.

It is a self number, because there is not a number n which added to its sum of digits gives 138587568.

It is not an unprimeable number, because it can be changed into a prime (138587569) 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 7 ways as a sum of consecutive naturals, for example, 205896 + ... + 206567.

Almost surely, 2138587568 is an apocalyptic number.

It is an amenable number.

138587568 is an abundant number, since it is smaller than the sum of its proper divisors (270576720).

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

138587568 is a wasteful number, since it uses less digits than its factorization.

138587568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412481 (or 412475 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The square root of 138587568 is about 11772.3221158784. The cubic root of 138587568 is about 517.4973035403.

The spelling of 138587568 in words is "one hundred thirty-eight million, five hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 412463 824926 1237389 1649852 2474778 2887241 3299704 4949556 5774482 6599408 8661723 9899112 11548964 17323446 19798224 23097928 34646892 46195856 69293784 138587568