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10656961 = 72217489
BaseRepresentation
bin101000101001…
…110011000001
3202001102121021
4220221303001
510212010321
61020225441
7156403600
oct50516301
922042537
1010656961
116019807
12369b281
1322918c3
1415b5a37
15e07941
hexa29cc1

10656961 has 6 divisors (see below), whose sum is σ = 12396930. Its totient is φ = 9134496.

The previous prime is 10656923. The next prime is 10657013. The reversal of 10656961 is 16965601.

10656961 is digitally balanced in base 3, 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 only one way, i.e., 8850625 + 1806336 = 2975^2 + 1344^2 .

It is not a de Polignac number, because 10656961 - 29 = 10656449 is a prime.

It is a super-2 number, since 2×106569612 = 227141635511042, which contains 22 as substring.

It is the 3265-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (10656911) by changing a digit.

It is a nontrivial repunit in base 3264.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108696 + ... + 108793.

It is an arithmetic number, because the mean of its divisors is an integer number (2066155).

Almost surely, 210656961 is an apocalyptic number.

It is an amenable number.

10656961 is a deficient number, since it is larger than the sum of its proper divisors (1739969).

10656961 is an equidigital number, since it uses as much as digits as its factorization.

10656961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217503 (or 217496 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 10656961 is about 3264.5001148721. The cubic root of 10656961 is about 220.0616975717.

The spelling of 10656961 in words is "ten million, six hundred fifty-six thousand, nine hundred sixty-one".

Divisors: 1 7 49 217489 1522423 10656961