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136186680 = 233572192353
BaseRepresentation
bin10000001111000…
…00101100111000
3100111021000000010
420013200230320
5234330433210
621302541520
73242365500
oct1007405470
9314230003
10136186680
116a968083
12397378a0
13222a3746
1414130a00
15be51920
hex81e0b38

136186680 has 384 divisors, whose sum is σ = 531878400. Its totient is φ = 27675648.

The previous prime is 136186669. The next prime is 136186681. The reversal of 136186680 is 86681631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136186681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569534 + ... + 2569586.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2136186680 is an apocalyptic number.

136186680 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 136186680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

136186680 is an abundant number, since it is smaller than the sum of its proper divisors (395691720).

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

136186680 is a wasteful number, since it uses less digits than its factorization.

136186680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 136186680 is about 11669.9048839311. The cubic root of 136186680 is about 514.4915080277.

The spelling of 136186680 in words is "one hundred thirty-six million, one hundred eighty-six thousand, six hundred eighty".