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21243300 = 22352132419
BaseRepresentation
bin101000100001…
…0010110100100
31110222021022220
41101002112210
520414241200
62035152340
7345364551
oct121022644
943867286
1021243300
1110a9a451
1271456b0
13452a300
142b6da28
151ce94a0
hex14425a4

21243300 has 108 divisors (see below), whose sum is σ = 66714480. Its totient is φ = 5216640.

The previous prime is 21243293. The next prime is 21243307. The reversal of 21243300 is 334212.

It is an interprime number because it is at equal distance from previous prime (21243293) and next prime (21243307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21243300.

It is not an unprimeable number, because it can be changed into a prime (21243307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50491 + ... + 50909.

Almost surely, 221243300 is an apocalyptic number.

21243300 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 21243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33357240).

21243300 is an abundant number, since it is smaller than the sum of its proper divisors (45471180).

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

21243300 is a wasteful number, since it uses less digits than its factorization.

21243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 21243300 is about 4609.0454543213. The cubic root of 21243300 is about 276.9537994167.

Adding to 21243300 its reverse (334212), we get a palindrome (21577512).

The spelling of 21243300 in words is "twenty-one million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 419 507 650 676 780 838 845 975 1014 1257 1300 1676 1690 1950 2028 2095 2514 2535 3380 3900 4190 4225 5028 5070 5447 6285 8380 8450 10140 10475 10894 12570 12675 16341 16900 20950 21788 25140 25350 27235 31425 32682 41900 50700 54470 62850 65364 70811 81705 108940 125700 136175 141622 163410 212433 272350 283244 326820 354055 408525 424866 544700 708110 817050 849732 1062165 1416220 1634100 1770275 2124330 3540550 4248660 5310825 7081100 10621650 21243300