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12755304 = 2332172613
BaseRepresentation
bin110000101010…
…000101101000
3220000000222200
4300222011220
511231132204
61133220200
7213263322
oct60520550
926000880
1012755304
117222281
124331660
132847a23
1419a0612
1511be539
hexc2a168

12755304 has 72 divisors (see below), whose sum is σ = 36757110. Its totient is φ = 3995136.

The previous prime is 12755297. The next prime is 12755311. The reversal of 12755304 is 40355721.

It is a happy number.

12755304 is a `hidden beast` number, since 127 + 5 + 530 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12755297) and next prime (12755311).

It can be written as a sum of positive squares in 3 ways, for example, as 10227204 + 2528100 = 3198^2 + 1590^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20502 + ... + 21114.

Almost surely, 212755304 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 12755304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378555).

12755304 is an abundant number, since it is smaller than the sum of its proper divisors (24001806).

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

12755304 is a wasteful number, since it uses less digits than its factorization.

12755304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 12755304 is about 3571.4568456024. The cubic root of 12755304 is about 233.6488267392.

The spelling of 12755304 in words is "twelve million, seven hundred fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 613 867 1156 1224 1226 1734 1839 2312 2452 2601 3468 3678 4904 5202 5517 6936 7356 10404 10421 11034 14712 20808 20842 22068 31263 41684 44136 62526 83368 93789 125052 177157 187578 250104 354314 375156 531471 708628 750312 1062942 1417256 1594413 2125884 3188826 4251768 6377652 12755304