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21682633 = 7172961103
BaseRepresentation
bin101001010110…
…1100111001001
31111210120222111
41102231213021
521022321013
62052422321
7352204450
oct122554711
944716874
1021682633
111126a535
1273179a1
13465227b
142c45b97
151d8473d
hex14ad9c9

21682633 has 32 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 16450560.

The previous prime is 21682627. The next prime is 21682643. The reversal of 21682633 is 33628612.

It is not a de Polignac number, because 21682633 - 217 = 21551561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21682595 and 21682604.

It is not an unprimeable number, because it can be changed into a prime (21682613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210460 + ... + 210562.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 221682633 is an apocalyptic number.

It is an amenable number.

21682633 is a deficient number, since it is larger than the sum of its proper divisors (6172727).

21682633 is a wasteful number, since it uses less digits than its factorization.

21682633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 10368, while the sum is 31.

The square root of 21682633 is about 4656.4614247302. The cubic root of 21682633 is about 278.8500155221.

The spelling of 21682633 in words is "twenty-one million, six hundred eighty-two thousand, six hundred thirty-three".

Divisors: 1 7 17 29 61 103 119 203 427 493 721 1037 1751 1769 2987 3451 6283 7259 12257 12383 20909 30073 43981 50779 106811 182207 210511 355453 747677 1275449 3097519 21682633