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21672288 = 2532116841
BaseRepresentation
bin101001010101…
…1000101100000
31111210001210100
41102223011200
521022003123
62052302400
7352132341
oct122530540
944701710
1021672288
1111262790
127311a00
13464a651
142c420c8
151d81643
hex14ab160

21672288 has 72 divisors (see below), whose sum is σ = 67243176. Its totient is φ = 6566400.

The previous prime is 21672271. The next prime is 21672319. The reversal of 21672288 is 88227612.

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 (36).

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, 253 + ... + 6588.

It is an arithmetic number, because the mean of its divisors is an integer number (933933).

Almost surely, 221672288 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 21672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33621588).

21672288 is an abundant number, since it is smaller than the sum of its proper divisors (45570888).

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

21672288 is a wasteful number, since it uses less digits than its factorization.

21672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6857 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 21672288 is about 4655.3504701580. The cubic root of 21672288 is about 278.8056610948.

The spelling of 21672288 in words is "twenty-one million, six hundred seventy-two thousand, two hundred eighty-eight".

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 6841 13682 20523 27364 41046 54728 61569 75251 82092 109456 123138 150502 164184 218912 225753 246276 301004 328368 451506 492552 602008 656736 677259 903012 985104 1204016 1354518 1806024 1970208 2408032 2709036 3612048 5418072 7224096 10836144 21672288