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12965204 = 2272292281
BaseRepresentation
bin110001011101…
…010101010100
3220101200220202
4301131111110
511304341304
61141520032
7215126300
oct61352524
926350822
1012965204
117355a4a
124413018
1328bc425
141a16d00
15121181e
hexc5d554

12965204 has 36 divisors (see below), whose sum is σ = 27315540. Its totient is φ = 5362560.

The previous prime is 12965189. The next prime is 12965209. The reversal of 12965204 is 40256921.

It is a happy number.

12965204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7300804 + 5664400 = 2702^2 + 2380^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12965209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4544 + ... + 6824.

It is an arithmetic number, because the mean of its divisors is an integer number (758765).

Almost surely, 212965204 is an apocalyptic number.

12965204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12965204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657770).

12965204 is an abundant number, since it is smaller than the sum of its proper divisors (14350336).

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

12965204 is a wasteful number, since it uses less digits than its factorization.

12965204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 12965204 is about 3600.7227052357. The cubic root of 12965204 is about 234.9234940333.

The spelling of 12965204 in words is "twelve million, nine hundred sixty-five thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2281 2842 4562 5684 9124 15967 31934 63868 66149 111769 132298 223538 264596 447076 463043 926086 1852172 3241301 6482602 12965204