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21268284 = 22323263293
BaseRepresentation
bin101000100100…
…0011100111100
31111000112121020
41101020130330
520421041114
62035504140
7345530442
oct121103474
944015536
1021268284
11110071a4
127158050
1345387ab
142b78b92
151d01aa9
hex144873c

21268284 has 48 divisors (see below), whose sum is σ = 52157952. Its totient is φ = 6732352.

The previous prime is 21268271. The next prime is 21268297. The reversal of 21268284 is 48286212.

21268284 = 16272 + 16282 + ... + 16342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21268271) and next prime (21268297).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72442 + ... + 72734.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624).

Almost surely, 221268284 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 21268284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078976).

21268284 is an abundant number, since it is smaller than the sum of its proper divisors (30889668).

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

21268284 is a wasteful number, since it uses less digits than its factorization.

21268284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 21268284 is about 4611.7549804819. The cubic root of 21268284 is about 277.0623309362.

The spelling of 21268284 in words is "twenty-one million, two hundred sixty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 263 276 293 526 586 789 879 1052 1172 1578 1758 3156 3516 6049 6739 12098 13478 18147 20217 24196 26956 36294 40434 72588 77059 80868 154118 231177 308236 462354 924708 1772357 3544714 5317071 7089428 10634142 21268284