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136563328 = 2711234217
BaseRepresentation
bin10000010001111…
…00101010000000
3100111222010200001
420020330222000
5234430011303
621315005344
73245524546
oct1010745200
9314863601
10136563328
11700a5060
1239899854
13223a6005
14141cbd96
15bec831d
hex823ca80

136563328 has 64 divisors (see below), whose sum is σ = 309769920. Its totient is φ = 59361280.

The previous prime is 136563319. The next prime is 136563359. The reversal of 136563328 is 823365631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30276 + ... + 34492.

It is an arithmetic number, because the mean of its divisors is an integer number (4840155).

Almost surely, 2136563328 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 136563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154884960).

136563328 is an abundant number, since it is smaller than the sum of its proper divisors (173206592).

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

136563328 is a wasteful number, since it uses less digits than its factorization.

136563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4253 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 136563328 is about 11686.0313194857. The cubic root of 136563328 is about 514.9653767530.

The spelling of 136563328 in words is "one hundred thirty-six million, five hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 4217 8096 8434 16192 16868 32384 33736 46387 67472 92774 96991 134944 185548 193982 269888 371096 387964 539776 742192 775928 1066901 1484384 1551856 2133802 2968768 3103712 4267604 5937536 6207424 8535208 12414848 17070416 34140832 68281664 136563328