Search a number
-
+
13023668 = 2272943373
BaseRepresentation
bin110001101011…
…100110110100
3220111200010002
4301223212310
511313224133
61143050432
7215461610
oct61534664
926450102
1013023668
117395969
124440a18
13290cc18
141a30340
151223ce8
hexc6b9b4

13023668 has 48 divisors (see below), whose sum is σ = 27646080. Its totient is φ = 5249664.

The previous prime is 13023641. The next prime is 13023677. The reversal of 13023668 is 86632031.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 13023668.

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 15 ways as a sum of consecutive naturals, for example, 34730 + ... + 35102.

It is an arithmetic number, because the mean of its divisors is an integer number (575960).

Almost surely, 213023668 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 13023668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823040).

13023668 is an abundant number, since it is smaller than the sum of its proper divisors (14622412).

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

13023668 is a wasteful number, since it uses less digits than its factorization.

13023668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 13023668 is about 3608.8319439952. The cubic root of 13023668 is about 235.2760781317.

Adding to 13023668 its reverse (86632031), we get a palindrome (99655699).

The spelling of 13023668 in words is "thirteen million, twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 43 58 86 116 172 203 301 373 406 602 746 812 1204 1247 1492 2494 2611 4988 5222 8729 10444 10817 16039 17458 21634 32078 34916 43268 64156 75719 112273 151438 224546 302876 449092 465131 930262 1860524 3255917 6511834 13023668