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21689568 = 2532127593
BaseRepresentation
bin101001010111…
…1010011100000
31111210221111100
41102233103200
521023031233
62052514400
7352233615
oct122572340
944727440
1021689568
111127476a
12731ba00
134655484
142c4850c
151d86813
hex14af4e0

21689568 has 72 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 7160832.

The previous prime is 21689557. The next prime is 21689573. The reversal of 21689568 is 86598612.

21689568 is a `hidden beast` number, since 2 + 1 + 6 + 89 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 36280 + ... + 36872.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 221689568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

21689568 is an abundant number, since it is smaller than the sum of its proper divisors (40580640).

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

21689568 is a wasteful number, since it uses less digits than its factorization.

21689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 21689568 is about 4657.2060293700. The cubic root of 21689568 is about 278.8797415971.

The spelling of 21689568 in words is "twenty-one million, six hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 593 762 1016 1143 1186 1524 1779 2032 2286 2372 3048 3558 4064 4572 4744 5337 6096 7116 9144 9488 10674 12192 14232 18288 18976 21348 28464 36576 42696 56928 75311 85392 150622 170784 225933 301244 451866 602488 677799 903732 1204976 1355598 1807464 2409952 2711196 3614928 5422392 7229856 10844784 21689568