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21064806 = 2337219419
BaseRepresentation
bin101000001011…
…0110001100110
31110122012111000
41100112301212
520343033211
62031254130
7344022300
oct120266146
943565430
1021064806
1110988334
12707a346
134496ca9
142b24970
151cb1656
hex1416c66

21064806 has 96 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 5688144.

The previous prime is 21064783. The next prime is 21064837. The reversal of 21064806 is 60846012.

21064806 is a `hidden beast` number, since 2 + 10 + 648 + 0 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21064806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50065 + ... + 50483.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 221064806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21064806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

21064806 is an abundant number, since it is smaller than the sum of its proper divisors (36391194).

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

21064806 is a wasteful number, since it uses less digits than its factorization.

21064806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21064806 is about 4589.6411624440. The cubic root of 21064806 is about 276.1759275342.

The spelling of 21064806 in words is "twenty-one million, sixty-four thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 419 441 513 798 838 882 931 1026 1197 1257 1323 1862 2394 2514 2646 2793 2933 3591 3771 5586 5866 7182 7542 7961 8379 8799 11313 15922 16758 17598 20531 22626 23883 25137 26397 41062 47766 50274 52794 55727 61593 71649 79191 111454 123186 143298 158382 167181 184779 214947 334362 369558 390089 429894 501543 554337 780178 1003086 1108674 1170267 1504629 2340534 3009258 3510801 7021602 10532403 21064806