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12956801 = 112138237
BaseRepresentation
bin110001011011…
…010010000001
3220101021101112
4301123102001
511304104201
61141413105
7215062634
oct61332201
926337345
1012956801
11734a700
12440a195
1328b8660
141a13c1b
15120e0bb
hexc5b481

12956801 has 12 divisors (see below), whose sum is σ = 15339156. Its totient is φ = 10871520.

The previous prime is 12956773. The next prime is 12956809. The reversal of 12956801 is 10865921.

It can be written as a sum of positive squares in 2 ways, for example, as 4840000 + 8116801 = 2200^2 + 2849^2 .

It is a de Polignac number, because none of the positive numbers 2k-12956801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12956809) 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, 2546 + ... + 5691.

It is an arithmetic number, because the mean of its divisors is an integer number (1278263).

Almost surely, 212956801 is an apocalyptic number.

12956801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12956801 is a deficient number, since it is larger than the sum of its proper divisors (2382355).

12956801 is a wasteful number, since it uses less digits than its factorization.

12956801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 12956801 is about 3599.5556670234. Note that the first 3 decimals coincide. The cubic root of 12956801 is about 234.8727302415.

The spelling of 12956801 in words is "twelve million, nine hundred fifty-six thousand, eight hundred one".

Divisors: 1 11 13 121 143 1573 8237 90607 107081 996677 1177891 12956801