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12956944 = 2471113809
BaseRepresentation
bin110001011011…
…010100010000
3220101021120211
4301123110100
511304110234
61141413504
7215063230
oct61332420
926337524
1012956944
11734a820
12440a294
1328b8740
141a13cc0
15120e164
hexc5b510

12956944 has 80 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4654080.

The previous prime is 12956927. The next prime is 12956947. The reversal of 12956944 is 44965921.

It is a junction number, because it is equal to n+sod(n) for n = 12956897 and 12956906.

It is not an unprimeable number, because it can be changed into a prime (12956947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15612 + ... + 16420.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 212956944 is an apocalyptic number.

12956944 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 12956944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

12956944 is an abundant number, since it is smaller than the sum of its proper divisors (20790896).

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

12956944 is a wasteful number, since it uses less digits than its factorization.

12956944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 12956944 is about 3599.5755305313. The cubic root of 12956944 is about 234.8735943096.

The spelling of 12956944 in words is "twelve million, nine hundred fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 809 1001 1144 1232 1456 1618 2002 2288 3236 4004 5663 6472 8008 8899 10517 11326 12944 16016 17798 21034 22652 35596 42068 45304 62293 71192 73619 84136 90608 115687 124586 142384 147238 168272 231374 249172 294476 462748 498344 588952 809809 925496 996688 1177904 1619618 1850992 3239236 6478472 12956944