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21026016 = 2532116637
BaseRepresentation
bin101000000110…
…1010011100000
31110120020021100
41100031103200
520340313031
62030354400
7343501224
oct120152340
943506240
1021026016
1110961180
12705ba00
13448243b
142b14784
151ca4de6
hex140d4e0

21026016 has 72 divisors (see below), whose sum is σ = 65238264. Its totient is φ = 6370560.

The previous prime is 21025987. The next prime is 21026053. The reversal of 21026016 is 61062012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 21026016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (906087).

Almost surely, 221026016 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 21026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32619132).

21026016 is an abundant number, since it is smaller than the sum of its proper divisors (44212248).

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

21026016 is a wasteful number, since it uses less digits than its factorization.

21026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21026016 is about 4585.4133946679. The cubic root of 21026016 is about 276.0063010534.

Adding to 21026016 its reverse (61062012), we get a palindrome (82088028).

It can be divided in two parts, 210260 and 16, that added together give a triangular number (210276 = T648).

The spelling of 21026016 in words is "twenty-one million, twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 6637 13274 19911 26548 39822 53096 59733 73007 79644 106192 119466 146014 159288 212384 219021 238932 292028 318576 438042 477864 584056 637152 657063 876084 955728 1168112 1314126 1752168 1911456 2336224 2628252 3504336 5256504 7008672 10513008 21026016