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21252320 = 255433089
BaseRepresentation
bin101000100010…
…0100011100000
31110222201200222
41101010203200
520420033240
62035302212
7345433055
oct121044340
943881628
1021252320
1110aa6201
12714a968
13453144b
142b7302c
151cebeb5
hex14448e0

21252320 has 48 divisors (see below), whose sum is σ = 51392880. Its totient is φ = 8300544.

The previous prime is 21252293. The next prime is 21252323. The reversal of 21252320 is 2325212.

It is a super-2 number, since 2×212523202 = 903322210764800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21252323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5336 + ... + 8424.

It is an arithmetic number, because the mean of its divisors is an integer number (1070685).

Almost surely, 221252320 is an apocalyptic number.

21252320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25696440).

21252320 is an abundant number, since it is smaller than the sum of its proper divisors (30140560).

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

21252320 is a wasteful number, since it uses less digits than its factorization.

21252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 21252320 is about 4610.0238611096. The cubic root of 21252320 is about 276.9929924765.

Adding to 21252320 its reverse (2325212), we get a palindrome (23577532).

The spelling of 21252320 in words is "twenty-one million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3089 3440 6178 6880 12356 15445 24712 30890 49424 61780 98848 123560 132827 247120 265654 494240 531308 664135 1062616 1328270 2125232 2656540 4250464 5313080 10626160 21252320