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21868544 = 21219281
BaseRepresentation
bin101001101101…
…1000000000000
31112011001000002
41103123000000
521044243134
62100415132
7353610455
oct123330000
945131002
1021868544
1111387185
1273a74a8
1346b8a89
142c9382c
151dbe87e
hex14db000

21868544 has 52 divisors (see below), whose sum is σ = 46197240. Its totient is φ = 10321920.

The previous prime is 21868529. The next prime is 21868571. The reversal of 21868544 is 44586812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 21868498 and 21868507.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77684 + ... + 77964.

Almost surely, 221868544 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 21868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098620).

21868544 is an abundant number, since it is smaller than the sum of its proper divisors (24328696).

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

21868544 is an equidigital number, since it uses as much as digits as its factorization.

21868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 21868544 is about 4676.3815071057. The cubic root of 21868544 is about 279.6447194578.

The spelling of 21868544 in words is "twenty-one million, eight hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 281 304 512 562 608 1024 1124 1216 2048 2248 2432 4096 4496 4864 5339 8992 9728 10678 17984 19456 21356 35968 38912 42712 71936 77824 85424 143872 170848 287744 341696 575488 683392 1150976 1366784 2733568 5467136 10934272 21868544