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136862112 = 2533753727
BaseRepresentation
bin10000010100001…
…01100110100000
3100112112022112010
420022011212200
5240014041422
621325232520
73251210622
oct1012054640
9315468463
10136862112
1170289592
1239a02740
132247bcca
1414268c12
15c036b0c
hex82859a0

136862112 has 96 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 43490304.

The previous prime is 136862093. The next prime is 136862161. The reversal of 136862112 is 211268631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1368621122 = 37462475402201088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136862112.

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, 187893 + ... + 188619.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2136862112 is an apocalyptic number.

136862112 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 136862112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

136862112 is an abundant number, since it is smaller than the sum of its proper divisors (239589600).

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

136862112 is a wasteful number, since it uses less digits than its factorization.

136862112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 136862112 is about 11698.8081444222. The cubic root of 136862112 is about 515.3406637891.

The spelling of 136862112 in words is "one hundred thirty-six million, eight hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 296 318 424 444 592 636 727 848 888 1184 1272 1454 1696 1776 1961 2181 2544 2908 3552 3922 4362 5088 5816 5883 7844 8724 11632 11766 15688 17448 23264 23532 26899 31376 34896 38531 47064 53798 62752 69792 77062 80697 94128 107596 115593 154124 161394 188256 215192 231186 308248 322788 430384 462372 616496 645576 860768 924744 1232992 1291152 1425647 1849488 2582304 2851294 3698976 4276941 5702588 8553882 11405176 17107764 22810352 34215528 45620704 68431056 136862112