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136112832 = 2633227347
BaseRepresentation
bin10000001110011…
…10101011000000
3100111010020201000
420013032223000
5234321102312
621301212000
73241640262
oct1007165300
9314106630
10136112832
116a917649
1239701000
1322278c4b
1414111b32
15be39adc
hex81ceac0

136112832 has 112 divisors (see below), whose sum is σ = 403067520. Its totient is φ = 45040896.

The previous prime is 136112819. The next prime is 136112839. The reversal of 136112832 is 238211631.

It is a happy number.

136112832 is a `hidden beast` number, since 13 + 611 + 2 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 136112796 and 136112805.

It is not an unprimeable number, because it can be changed into a prime (136112839) 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 15 ways as a sum of consecutive naturals, for example, 392083 + ... + 392429.

Almost surely, 2136112832 is an apocalyptic number.

136112832 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 136112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201533760).

136112832 is an abundant number, since it is smaller than the sum of its proper divisors (266954688).

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

136112832 is a wasteful number, since it uses less digits than its factorization.

136112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

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

The square root of 136112832 is about 11666.7404188145. The cubic root of 136112832 is about 514.3984959004.

The spelling of 136112832 in words is "one hundred thirty-six million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 227 288 347 432 454 576 681 694 864 908 1041 1362 1388 1728 1816 2043 2082 2724 2776 3123 3632 4086 4164 5448 5552 6129 6246 7264 8172 8328 9369 10896 11104 12258 12492 14528 16344 16656 18738 21792 22208 24516 24984 32688 33312 37476 43584 49032 49968 65376 66624 74952 78769 98064 99936 130752 149904 157538 196128 199872 236307 299808 315076 392256 472614 599616 630152 708921 945228 1260304 1417842 1890456 2126763 2520608 2835684 3780912 4253526 5041216 5671368 7561824 8507052 11342736 15123648 17014104 22685472 34028208 45370944 68056416 136112832