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136223640 = 23335737487
BaseRepresentation
bin10000001111010…
…01101110011000
3100111022212201000
420013221232120
5234333124030
621303425000
73242611320
oct1007515630
9314285630
10136223640
116a992923
1239755160
13222b7507
1414140280
15be5c860
hex81e9b98

136223640 has 256 divisors, whose sum is σ = 534067200. Its totient is φ = 30233088.

The previous prime is 136223639. The next prime is 136223651. The reversal of 136223640 is 46322631.

136223640 is a `hidden beast` number, since 1 + 3 + 622 + 36 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279477 + ... + 279963.

It is an arithmetic number, because the mean of its divisors is an integer number (2086200).

Almost surely, 2136223640 is an apocalyptic number.

136223640 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 136223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267033600).

136223640 is an abundant number, since it is smaller than the sum of its proper divisors (397843560).

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

136223640 is a wasteful number, since it uses less digits than its factorization.

136223640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136223640 is about 11671.4883369689. The cubic root of 136223640 is about 514.5380468086.

The spelling of 136223640 in words is "one hundred thirty-six million, two hundred twenty-three thousand, six hundred forty".