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21266568 = 2332535573
BaseRepresentation
bin101000100100…
…0000010001000
31111000110020200
41101020002020
520421012233
62035452200
7345522441
oct121100210
944013220
1021266568
1111005984
127157060
134537a8b
142b782c8
151d01313
hex1448088

21266568 has 48 divisors (see below), whose sum is σ = 58694220. Its totient is φ = 6953856.

The previous prime is 21266561. The next prime is 21266603. The reversal of 21266568 is 86566212.

It can be written as a sum of positive squares in 2 ways, for example, as 20629764 + 636804 = 4542^2 + 798^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21266561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030 + ... + 6602.

Almost surely, 221266568 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 21266568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29347110).

21266568 is an abundant number, since it is smaller than the sum of its proper divisors (37427652).

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

21266568 is a wasteful number, since it uses less digits than its factorization.

21266568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5631 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21266568 is about 4611.5689304184. The cubic root of 21266568 is about 277.0548792811.

The spelling of 21266568 in words is "twenty-one million, two hundred sixty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 5573 11146 16719 22292 33438 44584 50157 66876 100314 133752 200628 295369 401256 590738 886107 1181476 1772214 2362952 2658321 3544428 5316642 7088856 10633284 21266568