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21124512 = 2532411789
BaseRepresentation
bin101000010010…
…1010110100000
31110202020101100
41100211112200
520401441022
62032434400
7344361333
oct120452640
943666340
1021124512
1110a19182
1270a8a00
1344b8216
142b3c61a
151cc41ac
hex14255a0

21124512 has 72 divisors (see below), whose sum is σ = 61572420. Its totient is φ = 6865920.

The previous prime is 21124501. The next prime is 21124529. The reversal of 21124512 is 21542112.

21124512 is a `hidden beast` number, since 211 + 2 + 451 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 1296 = 4596^2 + 36^2 .

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 (18).

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, 10914 + ... + 12702.

Almost surely, 221124512 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 21124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30786210).

21124512 is an abundant number, since it is smaller than the sum of its proper divisors (40447908).

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

21124512 is a wasteful number, since it uses less digits than its factorization.

21124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1835 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 21124512 is about 4596.1409900045. The cubic root of 21124512 is about 276.4366120347.

Adding to 21124512 its reverse (21542112), we get a palindrome (42666624).

The spelling of 21124512 in words is "twenty-one million, one hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1789 1968 2952 3578 3936 5367 5904 7156 10734 11808 14312 16101 21468 28624 32202 42936 57248 64404 73349 85872 128808 146698 171744 220047 257616 293396 440094 515232 586792 660141 880188 1173584 1320282 1760376 2347168 2640564 3520752 5281128 7041504 10562256 21124512