Search a number
-
+
21683168 = 2513471109
BaseRepresentation
bin101001010110…
…1101111100000
31111210121201022
41102231233200
521022330133
62052425012
7352206143
oct122555740
944717638
1021683168
111126a981
127318168
1346525a0
142c4605a
151d84998
hex14adbe0

21683168 has 48 divisors (see below), whose sum is σ = 46992960. Its totient is φ = 9785856.

The previous prime is 21683141. The next prime is 21683171. The reversal of 21683168 is 86138612.

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 7 ways as a sum of consecutive naturals, for example, 18998 + ... + 20106.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 221683168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).

21683168 is an abundant number, since it is smaller than the sum of its proper divisors (25309792).

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

21683168 is a wasteful number, since it uses less digits than its factorization.

21683168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 21683168 is about 4656.5188714317. The cubic root of 21683168 is about 278.8523089633.

The spelling of 21683168 in words is "twenty-one million, six hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1109 1222 1504 2218 2444 4436 4888 8872 9776 14417 17744 19552 28834 35488 52123 57668 104246 115336 208492 230672 416984 461344 677599 833968 1355198 1667936 2710396 5420792 10841584 21683168