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136646328 = 233713193789
BaseRepresentation
bin10000010010100…
…00111010111000
3100112010100112010
420021100322320
5234440140303
621320445520
73246321540
oct1011207270
9315110463
10136646328
1170151455
12399198a0
1322404a20
1414210320
15bee2c03
hex8250eb8

136646328 has 256 divisors, whose sum is σ = 459648000. Its totient is φ = 32845824.

The previous prime is 136646327. The next prime is 136646333. The reversal of 136646328 is 823646631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136646327) 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 63 ways as a sum of consecutive naturals, for example, 1535308 + ... + 1535396.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2136646328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136646328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

136646328 is an abundant number, since it is smaller than the sum of its proper divisors (323001672).

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

136646328 is a wasteful number, since it uses less digits than its factorization.

136646328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 136646328 is about 11689.5820284559. The cubic root of 136646328 is about 515.0696835988.

The spelling of 136646328 in words is "one hundred thirty-six million, six hundred forty-six thousand, three hundred twenty-eight".