Search a number
-
+
13568568 = 23313157277
BaseRepresentation
bin110011110000…
…101000111000
3221112100120120
4303300220320
511433143233
61202453240
7223221336
oct63605070
927470516
1013568568
1177282a2
124664220
132a70c50
141b32b56
1512d04b3
hexcf0a38

13568568 has 64 divisors (see below), whose sum is σ = 36896160. Its totient is φ = 4133376.

The previous prime is 13568543. The next prime is 13568573. The reversal of 13568568 is 86586531.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 48846 + ... + 49122.

Almost surely, 213568568 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 13568568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448080).

13568568 is an abundant number, since it is smaller than the sum of its proper divisors (23327592).

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

13568568 is a wasteful number, since it uses less digits than its factorization.

13568568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 13568568 is about 3683.5537188970. The cubic root of 13568568 is about 238.5126065178.

The spelling of 13568568 in words is "thirteen million, five hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 277 312 314 471 554 628 831 942 1108 1256 1662 1884 2041 2216 3324 3601 3768 4082 6123 6648 7202 8164 10803 12246 14404 16328 21606 24492 28808 43212 43489 48984 86424 86978 130467 173956 260934 347912 521868 565357 1043736 1130714 1696071 2261428 3392142 4522856 6784284 13568568