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21237840 = 24325132269
BaseRepresentation
bin101000100000…
…1000001010000
31110221222211200
41101001001100
520414102330
62035111200
7345342621
oct121010120
943858750
1021237840
1110a96338
127142500
134527990
142b6ba48
151ce7a60
hex1441050

21237840 has 120 divisors (see below), whose sum is σ = 76844040. Its totient is φ = 5225472.

The previous prime is 21237793. The next prime is 21237841. The reversal of 21237840 is 4873212.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 20684304 = 744^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21237841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8226 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (640367).

Almost surely, 221237840 is an apocalyptic number.

21237840 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 21237840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38422020).

21237840 is an abundant number, since it is smaller than the sum of its proper divisors (55606200).

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

21237840 is a wasteful number, since it uses less digits than its factorization.

21237840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21237840 is about 4608.4531027233. The cubic root of 21237840 is about 276.9300696240.

The spelling of 21237840 in words is "twenty-one million, two hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2269 2340 3120 4538 4680 6807 9076 9360 11345 13614 18152 20421 22690 27228 29497 34035 36304 40842 45380 54456 58994 68070 81684 88491 90760 102105 108912 117988 136140 147485 163368 176982 181520 204210 235976 265473 272280 294970 326736 353964 408420 442455 471952 530946 544560 589940 707928 816840 884910 1061892 1179880 1327365 1415856 1633680 1769820 2123784 2359760 2654730 3539640 4247568 5309460 7079280 10618920 21237840