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20644884 = 223213311423
BaseRepresentation
bin100111011000…
…0010000010100
31102211212110100
41032300100110
520241114014
62014254100
7340323111
oct116602024
942755410
1020644884
1110720897
126ab7330
13437ab10
142a55908
151c2c009
hex13b0414

20644884 has 72 divisors (see below), whose sum is σ = 58053632. Its totient is φ = 6143040.

The previous prime is 20644861. The next prime is 20644889. The reversal of 20644884 is 48844602.

20644884 = 1562 + 1572 + ... + 4032.

20644884 is a `hidden beast` number, since 2 + 0 + 644 + 8 + 8 + 4 = 666.

It is a super-2 number, since 2×206448842 = 852422470746912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20644889) 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, 13797 + ... + 15219.

Almost surely, 220644884 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 20644884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29026816).

20644884 is an abundant number, since it is smaller than the sum of its proper divisors (37408748).

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

20644884 is a wasteful number, since it uses less digits than its factorization.

20644884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 20644884 is about 4543.6641601245. The cubic root of 20644884 is about 274.3284285227.

It can be divided in two parts, 20644 and 884, that added together give a triangular number (21528 = T207).

The spelling of 20644884 in words is "twenty million, six hundred forty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1423 1612 2418 2846 3627 4269 4836 5692 7254 8538 12807 14508 17076 18499 25614 36998 44113 51228 55497 73996 88226 110994 132339 166491 176452 221988 264678 332982 397017 529356 573469 665964 794034 1146938 1588068 1720407 2293876 3440814 5161221 6881628 10322442 20644884