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12964540 = 2251722243
BaseRepresentation
bin110001011101…
…001010111100
3220101200000011
4301131022330
511304331130
61141513004
7215124331
oct61351274
926350004
1012964540
1173554a6
124412764
1328bc034
141a16988
15121152a
hexc5d2bc

12964540 has 36 divisors (see below), whose sum is σ = 28934136. Its totient is φ = 4878592.

The previous prime is 12964499. The next prime is 12964547. The reversal of 12964540 is 4546921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964547) 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, 4659 + ... + 6901.

It is an arithmetic number, because the mean of its divisors is an integer number (803726).

Almost surely, 212964540 is an apocalyptic number.

12964540 is a gapful number since it is divisible by the number (10) 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 12964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467068).

12964540 is an abundant number, since it is smaller than the sum of its proper divisors (15969596).

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

12964540 is a wasteful number, since it uses less digits than its factorization.

12964540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 12964540 is about 3600.6305003430. The cubic root of 12964540 is about 234.9194835073.

The spelling of 12964540 in words is "twelve million, nine hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2243 2890 4486 5780 8972 11215 22430 38131 44860 76262 152524 190655 381310 648227 762620 1296454 2592908 3241135 6482270 12964540