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136117960 = 23511309359
BaseRepresentation
bin10000001110011…
…11111011001000
3100111010111201221
420013033323020
5234321233320
621301251424
73241661236
oct1007177310
9314114657
10136117960
116a920490
1239703b74
132227b394
1414113956
15be3b3aa
hex81cfec8

136117960 has 32 divisors (see below), whose sum is σ = 334108800. Its totient is φ = 49497280.

The previous prime is 136117951. The next prime is 136117981. The reversal of 136117960 is 69711631.

136117960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154240 + ... + 155119.

It is an arithmetic number, because the mean of its divisors is an integer number (10440900).

Almost surely, 2136117960 is an apocalyptic number.

136117960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136117960 is an abundant number, since it is smaller than the sum of its proper divisors (197990840).

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

136117960 is a wasteful number, since it uses less digits than its factorization.

136117960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309381 (or 309377 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 136117960 is about 11666.9601867839. The cubic root of 136117960 is about 514.4049557429.

It can be divided in two parts, 1361 and 17960, that added together give a square (19321 = 1392).

The spelling of 136117960 in words is "one hundred thirty-six million, one hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 309359 618718 1237436 1546795 2474872 3093590 3402949 6187180 6805898 12374360 13611796 17014745 27223592 34029490 68058980 136117960