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21824868 = 22313314513
BaseRepresentation
bin101001101000…
…0010101100100
31112001211002110
41103100111210
521041343433
62055441020
7353336232
oct123202544
945054073
1021824868
111135738a
127386170
1346a1c30
142c81952
151db1963
hex14d0564

21824868 has 48 divisors (see below), whose sum is σ = 56623616. Its totient is φ = 6497280.

The previous prime is 21824851. The next prime is 21824879. The reversal of 21824868 is 86842812.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2580 + ... + 7092.

Almost surely, 221824868 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 21824868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311808).

21824868 is an abundant number, since it is smaller than the sum of its proper divisors (34798748).

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

21824868 is a wasteful number, since it uses less digits than its factorization.

21824868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4562 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 21824868 is about 4671.7093231493. The cubic root of 21824868 is about 279.4584259557.

The spelling of 21824868 in words is "twenty-one million, eight hundred twenty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4513 4836 9026 13539 18052 27078 54156 58669 117338 139903 176007 234676 279806 352014 419709 559612 704028 839418 1678836 1818739 3637478 5456217 7274956 10912434 21824868