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12852765 = 3251753317
BaseRepresentation
bin110001000001…
…111000011101
3220011222200100
4301001320131
511242242030
61135251313
7214150422
oct61017035
926158610
1012852765
117289522
124379b39
1328801b3
1419c7d49
1511dd360
hexc41e1d

12852765 has 48 divisors (see below), whose sum is σ = 24109488. Its totient is φ = 6309888.

The previous prime is 12852751. The next prime is 12852767. The reversal of 12852765 is 56725821.

It is a happy number.

12852765 is a `hidden beast` number, since 128 + 527 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86436 + 12766329 = 294^2 + 3573^2 .

It is not a de Polignac number, because 12852765 - 26 = 12852701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12852767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40387 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (502281).

Almost surely, 212852765 is an apocalyptic number.

12852765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12852765 is a deficient number, since it is larger than the sum of its proper divisors (11256723).

12852765 is a wasteful number, since it uses less digits than its factorization.

12852765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12852765 is about 3585.0753130165. The cubic root of 12852765 is about 234.2424071358.

The spelling of 12852765 in words is "twelve million, eight hundred fifty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 53 85 153 159 255 265 317 477 765 795 901 951 1585 2385 2703 2853 4505 4755 5389 8109 13515 14265 16167 16801 26945 40545 48501 50403 80835 84005 151209 242505 252015 285617 756045 856851 1428085 2570553 4284255 12852765