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21904992 = 2537313
BaseRepresentation
bin101001110001…
…1111001100000
31112012220000000
41103203321200
521101424432
62101300000
7354121644
oct123437140
945186000
1021904992
11114015aa
127404600
1346cc545
142ca2c24
151dca57c
hex14e3e60

21904992 has 96 divisors (see below), whose sum is σ = 64884960. Its totient is φ = 7278336.

The previous prime is 21904963. The next prime is 21905011. The reversal of 21904992 is 29940912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69828 + ... + 70140.

It is an arithmetic number, because the mean of its divisors is an integer number (675885).

Almost surely, 221904992 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 21904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442480).

21904992 is an abundant number, since it is smaller than the sum of its proper divisors (42979968).

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

21904992 is an frugal number, since it uses more digits than its factorization.

21904992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 21904992 is about 4680.2769148844. The cubic root of 21904992 is about 279.7999932216.

The spelling of 21904992 in words is "twenty-one million, nine hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 313 324 432 486 626 648 729 864 939 972 1252 1296 1458 1878 1944 2187 2504 2592 2817 2916 3756 3888 4374 5008 5634 5832 7512 7776 8451 8748 10016 11268 11664 15024 16902 17496 22536 23328 25353 30048 33804 34992 45072 50706 67608 69984 76059 90144 101412 135216 152118 202824 228177 270432 304236 405648 456354 608472 684531 811296 912708 1216944 1369062 1825416 2433888 2738124 3650832 5476248 7301664 10952496 21904992