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136183680 = 273453771
BaseRepresentation
bin10000001110111…
…11111110000000
3100111020211220000
420013133332000
5234330334210
621302520000
73242353653
oct1007377600
9314224800
10136183680
116a9658a6
1239736000
13222a2279
141412d89a
15be50ac0
hex81dff80

136183680 has 320 divisors, whose sum is σ = 506515680. Its totient is φ = 34836480.

The previous prime is 136183679. The next prime is 136183687. The reversal of 136183680 is 86381631.

136183680 is a `hidden beast` number, since 1 + 3 + 618 + 36 + 8 + 0 = 666.

136183680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136183687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1918045 + ... + 1918115.

Almost surely, 2136183680 is an apocalyptic number.

136183680 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 136183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253257840).

136183680 is an abundant number, since it is smaller than the sum of its proper divisors (370332000).

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

136183680 is an equidigital number, since it uses as much as digits as its factorization.

136183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136183680 is about 11669.7763474713. The cubic root of 136183680 is about 514.4877301598.

The spelling of 136183680 in words is "one hundred thirty-six million, one hundred eighty-three thousand, six hundred eighty".