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21021120 = 26345811
BaseRepresentation
bin101000000110…
…0000111000000
31110112222120000
41100030013000
520340133440
62030320000
7343451031
oct120140700
943488500
1021021120
111095852a
127059000
134480143
142b12a88
151ca3730
hex140c1c0

21021120 has 140 divisors (see below), whose sum is σ = 74868024. Its totient is φ = 5598720.

The previous prime is 21021107. The next prime is 21021127. The reversal of 21021120 is 2112012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021127) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 25515 + ... + 26325.

Almost surely, 221021120 is an apocalyptic number.

21021120 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 21021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37434012).

21021120 is an abundant number, since it is smaller than the sum of its proper divisors (53846904).

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

21021120 is an equidigital number, since it uses as much as digits as its factorization.

21021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21021120 is about 4584.8794967807. The cubic root of 21021120 is about 275.9848762980.

Adding to 21021120 its reverse (2112012), we get a palindrome (23133132).

The spelling of 21021120 in words is "twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 811 864 960 1080 1296 1440 1620 1622 1728 2160 2433 2592 2880 3240 3244 4055 4320 4866 5184 6480 6488 7299 8110 8640 9732 12165 12960 12976 14598 16220 19464 21897 24330 25920 25952 29196 32440 36495 38928 43794 48660 51904 58392 64880 65691 72990 77856 87588 97320 109485 116784 129760 131382 145980 155712 175176 194640 218970 233568 259520 262764 291960 328455 350352 389280 437940 467136 525528 583920 656910 700704 778560 875880 1051056 1167840 1313820 1401408 1751760 2102112 2335680 2627640 3503520 4204224 5255280 7007040 10510560 21021120