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12968253 = 321738329
BaseRepresentation
bin110001011110…
…000100111101
3220101212002200
4301132010331
511304441003
61141542113
7215141214
oct61360475
926355080
1012968253
117358271
124414939
1328c092c
141a1807b
1512126a3
hexc5e13d

12968253 has 12 divisors (see below), whose sum is σ = 18842460. Its totient is φ = 8594496.

The previous prime is 12968213. The next prime is 12968269. The reversal of 12968253 is 35286921.

It can be written as a sum of positive squares in 2 ways, for example, as 6827769 + 6140484 = 2613^2 + 2478^2 .

It is not a de Polignac number, because 12968253 - 213 = 12960061 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12968213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2608 + ... + 5721.

It is an arithmetic number, because the mean of its divisors is an integer number (1570205).

Almost surely, 212968253 is an apocalyptic number.

It is an amenable number.

12968253 is a deficient number, since it is larger than the sum of its proper divisors (5874207).

12968253 is a wasteful number, since it uses less digits than its factorization.

12968253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8505 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12968253 is about 3601.1460675735. The cubic root of 12968253 is about 234.9419080794.

The spelling of 12968253 in words is "twelve million, nine hundred sixty-eight thousand, two hundred fifty-three".

Divisors: 1 3 9 173 519 1557 8329 24987 74961 1440917 4322751 12968253