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21728130 = 235711012
BaseRepresentation
bin101001011100…
…0101110000010
31111212220101120
41102320232002
521030300010
62053413110
7352454214
oct122705602
944786346
1021728130
11112a0736
12733a196
134669ba8
142c585b4
151d92e70
hex14b8b82

21728130 has 48 divisors (see below), whose sum is σ = 53410752. Its totient is φ = 5656000.

The previous prime is 21728129. The next prime is 21728143. The reversal of 21728130 is 3182712.

It is a super-2 number, since 2×217281302 = 944223266593800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21728130.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 215080 + ... + 215180.

It is an arithmetic number, because the mean of its divisors is an integer number (1112724).

Almost surely, 221728130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21728130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26705376).

21728130 is an abundant number, since it is smaller than the sum of its proper divisors (31682622).

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

21728130 is a wasteful number, since it uses less digits than its factorization.

21728130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 21728130 is about 4661.3442267226. The cubic root of 21728130 is about 279.0449176791.

The spelling of 21728130 in words is "twenty-one million, seven hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 101 142 202 213 303 355 426 505 606 710 1010 1065 1515 2130 3030 7171 10201 14342 20402 21513 30603 35855 43026 51005 61206 71710 102010 107565 153015 215130 306030 724271 1448542 2172813 3621355 4345626 7242710 10864065 21728130