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10633 = 7331
BaseRepresentation
bin10100110001001
3112120211
42212021
5320013
6121121
743000
oct24611
915524
1010633
117a97
1261a1
134abc
143c37
15323d
hex2989

10633 has 8 divisors (see below), whose sum is σ = 12800. Its totient is φ = 8820.

The previous prime is 10631. The next prime is 10639. The reversal of 10633 is 33601.

10633 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 10633 - 21 = 10631 is a prime.

It is a super-2 number, since 2×106332 = 226121378, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (1600).

210633 is an apocalyptic number.

It is an amenable number.

10633 is a deficient number, since it is larger than the sum of its proper divisors (2167).

10633 is an frugal number, since it uses more digits than its factorization.

10633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10633 is about 103.1164390386. The cubic root of 10633 is about 21.9896645667.

The spelling of 10633 in words is "ten thousand, six hundred thirty-three".

Divisors: 1 7 31 49 217 343 1519 10633