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21483300 = 22352193769
BaseRepresentation
bin101000111110…
…0111100100100
31111102110112210
41101330330210
520444431200
62044243420
7350414346
oct121747444
944373483
1021483300
11111437a3
127240570
1345b2617
142bd3296
151d45650
hex147cf24

21483300 has 72 divisors (see below), whose sum is σ = 65447200. Its totient is φ = 5425920.

The previous prime is 21483283. The next prime is 21483307. The reversal of 21483300 is 338412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21483307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3816 + ... + 7584.

Almost surely, 221483300 is an apocalyptic number.

21483300 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 21483300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32723600).

21483300 is an abundant number, since it is smaller than the sum of its proper divisors (43963900).

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

21483300 is a wasteful number, since it uses less digits than its factorization.

21483300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21483300 is about 4635.0080906078. The cubic root of 21483300 is about 277.9928745823.

The spelling of 21483300 in words is "twenty-one million, four hundred eighty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 3769 5700 7538 11307 15076 18845 22614 37690 45228 56535 71611 75380 94225 113070 143222 188450 214833 226140 282675 286444 358055 376900 429666 565350 716110 859332 1074165 1130700 1432220 1790275 2148330 3580550 4296660 5370825 7161100 10741650 21483300