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136727112 = 23329316337
BaseRepresentation
bin10000010011001…
…00101001001000
3100112021110100010
420021210221020
5240000231422
621322311520
73250106214
oct1011445110
9315243303
10136727112
11701a7115
12399585a0
1322432722
1414231944
15c00bb0c
hex8264a48

136727112 has 64 divisors (see below), whose sum is σ = 365068800. Its totient is φ = 42577920.

The previous prime is 136727053. The next prime is 136727119. The reversal of 136727112 is 211727631.

It is a self number, because there is not a number n which added to its sum of digits gives 136727112.

It is not an unprimeable number, because it can be changed into a prime (136727119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18408 + ... + 24744.

It is an arithmetic number, because the mean of its divisors is an integer number (5704200).

Almost surely, 2136727112 is an apocalyptic number.

136727112 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 136727112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182534400).

136727112 is an abundant number, since it is smaller than the sum of its proper divisors (228341688).

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

136727112 is a wasteful number, since it uses less digits than its factorization.

136727112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6402 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 136727112 is about 11693.0369023620. The cubic root of 136727112 is about 515.1711650239.

The spelling of 136727112 in words is "one hundred thirty-six million, seven hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2697 3596 5394 6337 7192 10788 12674 19011 21576 25348 38022 50696 76044 152088 183773 196447 367546 392894 551319 589341 735092 785788 1102638 1178682 1470184 1571576 2205276 2357364 4410552 4714728 5696963 11393926 17090889 22787852 34181778 45575704 68363556 136727112