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21010320 = 2433571137
BaseRepresentation
bin101000000100…
…1011110010000
31110112102202000
41100021132100
520334312240
62030154000
7343404402
oct120113620
943472660
1021010320
1110950401
127052900
134478256
142b0cb72
151ca0430
hex1409790

21010320 has 160 divisors (see below), whose sum is σ = 73923840. Its totient is φ = 5483520.

The previous prime is 21010307. The next prime is 21010321. The reversal of 21010320 is 2301012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21010321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153292 + ... + 153428.

It is an arithmetic number, because the mean of its divisors is an integer number (462024).

Almost surely, 221010320 is an apocalyptic number.

21010320 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 21010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36961920).

21010320 is an abundant number, since it is smaller than the sum of its proper divisors (52913520).

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

21010320 is a wasteful number, since it uses less digits than its factorization.

21010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21010320 is about 4583.7015609658. The cubic root of 21010320 is about 275.9376040425.

Adding to 21010320 its reverse (2301012), we get a palindrome (23311332).

The spelling of 21010320 in words is "twenty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 137 142 144 180 213 216 240 270 274 284 355 360 411 426 432 540 548 568 639 685 710 720 822 852 1065 1080 1096 1136 1233 1278 1370 1420 1644 1704 1917 2055 2130 2160 2192 2466 2556 2740 2840 3195 3288 3408 3699 3834 4110 4260 4932 5112 5480 5680 6165 6390 6576 7398 7668 8220 8520 9585 9727 9864 10224 10960 12330 12780 14796 15336 16440 17040 18495 19170 19454 19728 24660 25560 29181 29592 30672 32880 36990 38340 38908 48635 49320 51120 58362 59184 73980 76680 77816 87543 97270 98640 116724 145905 147960 153360 155632 175086 194540 233448 262629 291810 295920 350172 389080 437715 466896 525258 583620 700344 778160 875430 1050516 1167240 1313145 1400688 1750860 2101032 2334480 2626290 3501720 4202064 5252580 7003440 10505160 21010320