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20872672 = 253153397
BaseRepresentation
bin100111110011…
…1110111100000
31110021102220221
41033213313200
520320411142
62023212424
7342262162
oct117476740
943242827
1020872672
1110866a47
126ba7114
13442a6c2
142ab4932
151c74767
hex13e7de0

20872672 has 48 divisors (see below), whose sum is σ = 43327872. Its totient is φ = 9884160.

The previous prime is 20872613. The next prime is 20872681. The reversal of 20872672 is 27627802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52378 + ... + 52774.

It is an arithmetic number, because the mean of its divisors is an integer number (902664).

Almost surely, 220872672 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 20872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663936).

20872672 is an abundant number, since it is smaller than the sum of its proper divisors (22455200).

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

20872672 is a wasteful number, since it uses less digits than its factorization.

20872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 20872672 is about 4568.6619485359. The cubic root of 20872672 is about 275.3336863995. Note that the first 3 decimals are identical.

The spelling of 20872672 in words is "twenty million, eight hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 397 424 496 794 848 992 1588 1643 1696 3176 3286 6352 6572 12307 12704 13144 21041 24614 26288 42082 49228 52576 84164 98456 168328 196912 336656 393824 652271 673312 1304542 2609084 5218168 10436336 20872672