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21796272 = 2432236581
BaseRepresentation
bin101001100100…
…1010110110000
31112000100212100
41103021112300
521034440042
62055100400
7353156661
oct123112660
945010770
1021796272
1111337953
127371700
134691c04
142c75368
151da824c
hex14c95b0

21796272 has 60 divisors (see below), whose sum is σ = 63661104. Its totient is φ = 6948480.

The previous prime is 21796253. The next prime is 21796279. The reversal of 21796272 is 27269712.

21796272 is a `hidden beast` number, since 21 + 7 + 9 + 627 + 2 = 666.

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 (21796279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 6602.

Almost surely, 221796272 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 21796272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31830552).

21796272 is an abundant number, since it is smaller than the sum of its proper divisors (41864832).

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

21796272 is a wasteful number, since it uses less digits than its factorization.

21796272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6609 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 21796272 is about 4668.6477699651. The cubic root of 21796272 is about 279.3363192848.

The spelling of 21796272 in words is "twenty-one million, seven hundred ninety-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 6581 13162 19743 26324 39486 52648 59229 78972 105296 118458 151363 157944 236916 302726 315888 454089 473832 605452 908178 947664 1210904 1362267 1816356 2421808 2724534 3632712 5449068 7265424 10898136 21796272