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136205344 = 25112291213
BaseRepresentation
bin10000001111001…
…01010000100000
3100111021221121101
420013211100200
5234332032334
621303204144
73242504062
oct1007452040
9314257541
10136205344
116a980100
1239746654
13222ac0a2
1414137732
15be57214
hex81e5420

136205344 has 72 divisors (see below), whose sum is σ = 305163180. Its totient is φ = 59727360.

The previous prime is 136205323. The next prime is 136205387. The reversal of 136205344 is 443502631.

It can be written as a sum of positive squares in 2 ways, for example, as 125888400 + 10316944 = 11220^2 + 3212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111682 + ... + 112894.

Almost surely, 2136205344 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 136205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152581590).

136205344 is an abundant number, since it is smaller than the sum of its proper divisors (168957836).

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

136205344 is a wasteful number, since it uses less digits than its factorization.

136205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 136205344 is about 11670.7045202935. The cubic root of 136205344 is about 514.5150101570.

Adding to 136205344 its reverse (443502631), we get a palindrome (579707975).

The spelling of 136205344 in words is "one hundred thirty-six million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 121 176 232 242 319 352 464 484 638 928 968 1213 1276 1936 2426 2552 3509 3872 4852 5104 7018 9704 10208 13343 14036 19408 26686 28072 35177 38816 53372 56144 70354 106744 112288 140708 146773 213488 281416 293546 386947 426976 562832 587092 773894 1125664 1174184 1547788 2348368 3095576 4256417 4696736 6191152 8512834 12382304 17025668 34051336 68102672 136205344