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21056640 = 273511997
BaseRepresentation
bin101000001010…
…0110010000000
31110121210021120
41100110302000
520342303030
62031152240
7343656423
oct120246200
943553246
1021056640
1110982190
127075680
134493367
142b219ba
151cae010
hex1414c80

21056640 has 128 divisors (see below), whose sum is σ = 73293120. Its totient is φ = 5099520.

The previous prime is 21056597. The next prime is 21056653. The reversal of 21056640 is 4665012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21056640.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20622 + ... + 21618.

Almost surely, 221056640 is an apocalyptic number.

21056640 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 21056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36646560).

21056640 is an abundant number, since it is smaller than the sum of its proper divisors (52236480).

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

21056640 is a wasteful number, since it uses less digits than its factorization.

21056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21056640 is about 4588.7514641785. The cubic root of 21056640 is about 276.1402353927.

The spelling of 21056640 in words is "twenty-one million, fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 997 1056 1320 1408 1760 1920 1994 2112 2640 2991 3520 3988 4224 4985 5280 5982 7040 7976 9970 10560 10967 11964 14955 15952 19940 21120 21934 23928 29910 31904 32901 39880 43868 47856 54835 59820 63808 65802 79760 87736 95712 109670 119640 127616 131604 159520 164505 175472 191424 219340 239280 263208 319040 329010 350944 382848 438680 478560 526416 638080 658020 701888 877360 957120 1052832 1316040 1403776 1754720 1914240 2105664 2632080 3509440 4211328 5264160 7018880 10528320 21056640