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10626642 = 2321345413
BaseRepresentation
bin101000100010…
…011001010010
3201222220000100
4220202121102
510210023032
61015433230
7156216315
oct50423122
921886010
1010626642
115aa8a54
123685816
132280b70
1415a897c
15ded97c
hexa22652

10626642 has 24 divisors (see below), whose sum is σ = 24796044. Its totient is φ = 3269664.

The previous prime is 10626617. The next prime is 10626677. The reversal of 10626642 is 24662601.

It is a happy number.

10626642 is a `hidden beast` number, since 10 + 6 + 2 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7834401 + 2792241 = 2799^2 + 1671^2 .

It is a super-2 number, since 2×106266422 = 225851040392328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22473 + ... + 22940.

Almost surely, 210626642 is an apocalyptic number.

10626642 is an abundant number, since it is smaller than the sum of its proper divisors (14169402).

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

10626642 is a wasteful number, since it uses less digits than its factorization.

10626642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45434 (or 45431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10626642 is about 3259.8530641733. The cubic root of 10626642 is about 219.8528078784.

The spelling of 10626642 in words is "ten million, six hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 45413 90826 136239 272478 408717 590369 817434 1180738 1771107 3542214 5313321 10626642