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21242304 = 263319647
BaseRepresentation
bin101000100001…
…0000111000000
31110222012222000
41101002013000
520414223204
62035144000
7345361626
oct121020700
943865860
1021242304
1110a99726
127145000
134529a15
142b6d516
151ce9039
hex14421c0

21242304 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 6697728.

The previous prime is 21242237. The next prime is 21242339. The reversal of 21242304 is 40324212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32509 + ... + 33155.

Almost surely, 221242304 is an apocalyptic number.

21242304 is a gapful number since it is divisible by the number (24) 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 21242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

21242304 is an abundant number, since it is smaller than the sum of its proper divisors (44594496).

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

21242304 is a wasteful number, since it uses less digits than its factorization.

21242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21242304 is about 4608.9374046520. The cubic root of 21242304 is about 276.9494709885.

Adding to 21242304 its reverse (40324212), we get a palindrome (61566516).

The spelling of 21242304 in words is "twenty-one million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 647 684 864 912 1026 1216 1294 1368 1728 1824 1941 2052 2588 2736 3648 3882 4104 5176 5472 5823 7764 8208 10352 10944 11646 12293 15528 16416 17469 20704 23292 24586 31056 32832 34938 36879 41408 46584 49172 62112 69876 73758 93168 98344 110637 124224 139752 147516 186336 196688 221274 279504 295032 331911 372672 393376 442548 559008 590064 663822 786752 885096 1118016 1180128 1327644 1770192 2360256 2655288 3540384 5310576 7080768 10621152 21242304