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21840928 = 256167167
BaseRepresentation
bin101001101010…
…0010000100000
31112002122010021
41103110100200
521042402203
62100043224
7353434114
oct123242040
945078107
1021840928
111136845a
127393514
1346a9335
142c87744
151db65bd
hex14d4420

21840928 has 48 divisors (see below), whose sum is σ = 44622144. Its totient is φ = 10517760.

The previous prime is 21840919. The next prime is 21840977. The reversal of 21840928 is 82904812.

It is a super-2 number, since 2×218409282 = 954052271802368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21840893 and 21840902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130701 + ... + 130867.

It is an arithmetic number, because the mean of its divisors is an integer number (929628).

Almost surely, 221840928 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 21840928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072).

21840928 is an abundant number, since it is smaller than the sum of its proper divisors (22781216).

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

21840928 is a wasteful number, since it uses less digits than its factorization.

21840928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 21840928 is about 4673.4278639988. The cubic root of 21840928 is about 279.5269563725.

The spelling of 21840928 in words is "twenty-one million, eight hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 67 122 134 167 244 268 334 488 536 668 976 1072 1336 1952 2144 2672 4087 5344 8174 10187 11189 16348 20374 22378 32696 40748 44756 65392 81496 89512 130784 162992 179024 325984 358048 682529 1365058 2730116 5460232 10920464 21840928