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21037320 = 2334543151
BaseRepresentation
bin101000001000…
…0000100001000
31110120210210000
41100100010020
520341143240
62030523000
7343546203
oct120200410
943523700
1021037320
1110969717
127066460
134487625
142b1893a
151ca8430
hex1410108

21037320 has 160 divisors (see below), whose sum is σ = 72832320. Its totient is φ = 5443200.

The previous prime is 21037301. The next prime is 21037339. The reversal of 21037320 is 2373012.

It is an interprime number because it is at equal distance from previous prime (21037301) and next prime (21037339).

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

It is a junction number, because it is equal to n+sod(n) for n = 21037293 and 21037302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139245 + ... + 139395.

It is an arithmetic number, because the mean of its divisors is an integer number (455202).

Almost surely, 221037320 is an apocalyptic number.

21037320 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 21037320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36416160).

21037320 is an abundant number, since it is smaller than the sum of its proper divisors (51795000).

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

21037320 is a wasteful number, since it uses less digits than its factorization.

21037320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 21037320 is about 4586.6458332860. The cubic root of 21037320 is about 276.0557543319.

The spelling of 21037320 in words is "twenty-one million, thirty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 108 120 129 135 151 162 172 180 215 216 258 270 302 324 344 360 387 405 430 453 516 540 604 645 648 755 774 810 860 906 1032 1080 1161 1208 1290 1359 1510 1548 1620 1720 1812 1935 2265 2322 2580 2718 3020 3096 3240 3483 3624 3870 4077 4530 4644 5160 5436 5805 6040 6493 6795 6966 7740 8154 9060 9288 10872 11610 12231 12986 13590 13932 15480 16308 17415 18120 19479 20385 23220 24462 25972 27180 27864 32465 32616 34830 38958 40770 46440 48924 51944 54360 58437 61155 64930 69660 77916 81540 97395 97848 116874 122310 129860 139320 155832 163080 175311 194790 233748 244620 259720 292185 350622 389580 467496 489240 525933 584370 701244 779160 876555 1051866 1168740 1402488 1753110 2103732 2337480 2629665 3506220 4207464 5259330 7012440 10518660 21037320