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138016260 = 22325766757
BaseRepresentation
bin10000011100111…
…11011000000100
3100121200221201100
420032133120010
5240313010020
621410100100
73264055524
oct1016373004
9317627640
10138016260
11709a7728
123a27a630
1322794435
1414489684
15c1b3a90
hex839f604

138016260 has 36 divisors (see below), whose sum is σ = 418649868. Its totient is φ = 36804288.

The previous prime is 138016259. The next prime is 138016271. The reversal of 138016260 is 62610831.

138016260 is a `hidden beast` number, since 1 + 38 + 0 + 1 + 626 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22410756 + 115605504 = 4734^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (36).

138016260 is a modest number, since divided by 16260 gives 1380 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383199 + ... + 383558.

It is an arithmetic number, because the mean of its divisors is an integer number (11629163).

Almost surely, 2138016260 is an apocalyptic number.

138016260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138016260 is an abundant number, since it is smaller than the sum of its proper divisors (280633608).

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

138016260 is a wasteful number, since it uses less digits than its factorization.

138016260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766772 (or 766767 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138016260 is about 11748.0321756454. The cubic root of 138016260 is about 516.7852205689.

The spelling of 138016260 in words is "one hundred thirty-eight million, sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 766757 1533514 2300271 3067028 3833785 4600542 6900813 7667570 9201084 11501355 13801626 15335140 23002710 27603252 34504065 46005420 69008130 138016260