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21263868 = 22322361421
BaseRepresentation
bin101000100011…
…1010111111100
31111000022112200
41101013113330
520420420433
62035431500
7345511533
oct121072774
944008480
1021263868
111100394a
127155590
134536792
142b7731a
151d00613
hex14475fc

21263868 has 72 divisors (see below), whose sum is σ = 57142176. Its totient is φ = 6652800.

The previous prime is 21263867. The next prime is 21263897. The reversal of 21263868 is 86836212.

21263868 is a `hidden beast` number, since 2 + 12 + 638 + 6 + 8 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21263867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50298 + ... + 50718.

Almost surely, 221263868 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 21263868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28571088).

21263868 is an abundant number, since it is smaller than the sum of its proper divisors (35878308).

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

21263868 is a wasteful number, since it uses less digits than its factorization.

21263868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 510 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 21263868 is about 4611.2761791070. The cubic root of 21263868 is about 277.0431538375.

The spelling of 21263868 in words is "twenty-one million, two hundred sixty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 421 549 732 828 842 1098 1263 1403 1684 2196 2526 2806 3789 4209 5052 5612 7578 8418 9683 12627 15156 16836 19366 25254 25681 29049 38732 50508 51362 58098 77043 87147 102724 116196 154086 174294 231129 308172 348588 462258 590663 924516 1181326 1771989 2362652 3543978 5315967 7087956 10631934 21263868