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21068586 = 235711563
BaseRepresentation
bin101000001011…
…1101100101010
31110122101200000
41100113230222
520343143321
62031323430
7344036310
oct120275452
943571600
1021068586
1110990160
127080576
134498926
142b260b0
151cb2826
hex1417b2a

21068586 has 96 divisors (see below), whose sum is σ = 59125248. Its totient is φ = 5462640.

The previous prime is 21068569. The next prime is 21068609. The reversal of 21068586 is 68586012.

It is a happy number.

21068586 is a `hidden beast` number, since 2 + 10 + 68 + 586 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21068586.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37141 + ... + 37703.

It is an arithmetic number, because the mean of its divisors is an integer number (615888).

Almost surely, 221068586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21068586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29562624).

21068586 is an abundant number, since it is smaller than the sum of its proper divisors (38056662).

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

21068586 is a wasteful number, since it uses less digits than its factorization.

21068586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 21068586 is about 4590.0529408712. The cubic root of 21068586 is about 276.1924461224.

The spelling of 21068586 in words is "twenty-one million, sixty-eight thousand, five hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 563 567 594 693 891 1126 1134 1386 1689 1701 1782 2079 2673 3378 3402 3941 4158 5067 5346 6193 6237 7882 10134 11823 12386 12474 15201 18579 18711 23646 30402 35469 37158 37422 43351 45603 55737 70938 86702 91206 106407 111474 130053 136809 167211 212814 260106 273618 319221 334422 390159 501633 638442 780318 957663 1003266 1170477 1504899 1915326 2340954 3009798 3511431 7022862 10534293 21068586