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136110080 = 21353323
BaseRepresentation
bin10000001110011…
…10000000000000
3100111010002221002
420013032000000
5234321010310
621301151132
73241626251
oct1007160000
9314102832
10136110080
116a915577
12396bb4a8
1322277912
1414110b28
15be38da5
hex81ce000

136110080 has 56 divisors (see below), whose sum is σ = 326742552. Its totient is φ = 54427648.

The previous prime is 136110061. The next prime is 136110089. The reversal of 136110080 is 80011631.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136110089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39299 + ... + 42621.

Almost surely, 2136110080 is an apocalyptic number.

136110080 is a gapful number since it is divisible by the number (10) 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 136110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163371276).

136110080 is an abundant number, since it is smaller than the sum of its proper divisors (190632472).

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

136110080 is an frugal number, since it uses more digits than its factorization.

136110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 136110080 is about 11666.6224761068. The cubic root of 136110080 is about 514.3950290849.

The spelling of 136110080 in words is "one hundred thirty-six million, one hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3323 4096 5120 6646 8192 10240 13292 16615 20480 26584 33230 40960 53168 66460 106336 132920 212672 265840 425344 531680 850688 1063360 1701376 2126720 3402752 4253440 6805504 8506880 13611008 17013760 27222016 34027520 68055040 136110080