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21055680 = 263352437
BaseRepresentation
bin101000001010…
…0100011000000
31110121201222000
41100110203000
520342240210
62031144000
7343653552
oct120244300
943551860
1021055680
1110981498
127075000
134492aa9
142b214d2
151cadac0
hex14148c0

21055680 has 112 divisors (see below), whose sum is σ = 74310240. Its totient is φ = 5612544.

The previous prime is 21055679. The next prime is 21055687. The reversal of 21055680 is 8655012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21055687) 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 15 ways as a sum of consecutive naturals, for example, 7422 + ... + 9858.

Almost surely, 221055680 is an apocalyptic number.

21055680 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 21055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37155120).

21055680 is an abundant number, since it is smaller than the sum of its proper divisors (53254560).

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

21055680 is a wasteful number, since it uses less digits than its factorization.

21055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 21055680 is about 4588.6468593693. The cubic root of 21055680 is about 276.1360387964.

The spelling of 21055680 in words is "twenty-one million, fifty-five thousand, six hundred eighty".

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 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2437 2880 4320 4874 7311 8640 9748 12185 14622 19496 21933 24370 29244 36555 38992 43866 48740 58488 65799 73110 77984 87732 97480 109665 116976 131598 146220 155968 175464 194960 219330 233952 263196 292440 328995 350928 389920 438660 467904 526392 584880 657990 701856 779840 877320 1052784 1169760 1315980 1403712 1754640 2105568 2339520 2631960 3509280 4211136 5263920 7018560 10527840 21055680