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136170720 = 2534571979
BaseRepresentation
bin10000001110111…
…00110011100000
3100111020012010000
420013130303200
5234324430340
621302340000
73242301120
oct1007346340
9314205100
10136170720
116a957094
123972a600
13222993ba
1414128c80
15be4bd30
hex81dcce0

136170720 has 480 divisors, whose sum is σ = 585446400. Its totient is φ = 29113344.

The previous prime is 136170677. The next prime is 136170721. The reversal of 136170720 is 27071631.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136170721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723641 + ... + 1723719.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2136170720 is an apocalyptic number.

136170720 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 136170720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

136170720 is an abundant number, since it is smaller than the sum of its proper divisors (449275680).

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

136170720 is a wasteful number, since it uses less digits than its factorization.

136170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 136170720 is about 11669.2210536951. The cubic root of 136170720 is about 514.4714091330.

The spelling of 136170720 in words is "one hundred thirty-six million, one hundred seventy thousand, seven hundred twenty".