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138262872 = 233112292287
BaseRepresentation
bin10000011110110…
…11100101011000
3100122011111000010
420033123211120
5240343402442
621415241520
73266133516
oct1017334530
9318144003
10138262872
1171055a40
123a3792a0
132284c767
14145114b6
15c211b9c
hex83db958

138262872 has 64 divisors (see below), whose sum is σ = 378892800. Its totient is φ = 41696640.

The previous prime is 138262837. The next prime is 138262889. The reversal of 138262872 is 278262831.

138262872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138262872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59313 + ... + 61599.

It is an arithmetic number, because the mean of its divisors is an integer number (5920200).

Almost surely, 2138262872 is an apocalyptic number.

138262872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138262872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189446400).

138262872 is an abundant number, since it is smaller than the sum of its proper divisors (240629928).

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

138262872 is a wasteful number, since it uses less digits than its factorization.

138262872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 138262872 is about 11758.5233766830. The cubic root of 138262872 is about 517.0928403720.

The spelling of 138262872 in words is "one hundred thirty-eight million, two hundred sixty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 229 264 458 687 916 1374 1832 2287 2519 2748 4574 5038 5496 6861 7557 9148 10076 13722 15114 18296 20152 25157 27444 30228 50314 54888 60456 75471 100628 150942 201256 301884 523723 603768 1047446 1571169 2094892 3142338 4189784 5760953 6284676 11521906 12569352 17282859 23043812 34565718 46087624 69131436 138262872