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21068406 = 23217312221
BaseRepresentation
bin101000001011…
…1101001110110
31110122101102100
41100113221312
520343142111
62031322530
7344035632
oct120275166
943571370
1021068406
1110990007
127080446
134498818
142b25dc2
151cb2756
hex1417a76

21068406 has 48 divisors (see below), whose sum is σ = 49915008. Its totient is φ = 6393600.

The previous prime is 21068357. The next prime is 21068417. The reversal of 21068406 is 60486012.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21068406.

It is a congruent number.

It is an unprimeable number.

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, 8376 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (1039896).

Almost surely, 221068406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21068406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24957504).

21068406 is an abundant number, since it is smaller than the sum of its proper divisors (28846602).

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

21068406 is a wasteful number, since it uses less digits than its factorization.

21068406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2274 counting only the distinct ones).

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

The square root of 21068406 is about 4590.0333332123. The cubic root of 21068406 is about 276.1916595678.

The spelling of 21068406 in words is "twenty-one million, sixty-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 2221 3162 4442 4743 6663 9486 13326 19989 37757 39978 68851 75514 113271 137702 206553 226542 339813 413106 619659 679626 1170467 1239318 2340934 3511401 7022802 10534203 21068406