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136866240 = 2633573173
BaseRepresentation
bin10000010100001…
…10100111000000
3100112112112012000
420022012213000
5240014204430
621325304000
73251225640
oct1012064700
9315475160
10136866240
11702916a5
1239a05000
1322480b54
141426a520
15c037e60
hex82869c0

136866240 has 448 divisors, whose sum is σ = 577413120. Its totient is φ = 29859840.

The previous prime is 136866239. The next prime is 136866251. The reversal of 136866240 is 42668631.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 136866195 and 136866204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874844 + ... + 1874916.

Almost surely, 2136866240 is an apocalyptic number.

136866240 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 136866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288706560).

136866240 is an abundant number, since it is smaller than the sum of its proper divisors (440546880).

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

136866240 is a wasteful number, since it uses less digits than its factorization.

136866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 136866240 is about 11698.9845713207. The cubic root of 136866240 is about 515.3458449281.

The spelling of 136866240 in words is "one hundred thirty-six million, eight hundred sixty-six thousand, two hundred forty".