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23868 = 22331317
BaseRepresentation
bin101110100111100
31012202000
411310330
51230433
6302300
7126405
oct56474
935660
1023868
1116a29
1211990
13ab30
1489ac
157113
hex5d3c

23868 has 48 divisors (see below), whose sum is σ = 70560. Its totient is φ = 6912.

The previous prime is 23857. The next prime is 23869. The reversal of 23868 is 86832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23869) by changing a digit.

23868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

223868 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 23868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

23868 is an abundant number, since it is smaller than the sum of its proper divisors (46692).

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

23868 is a wasteful number, since it uses less digits than its factorization.

23868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 35 counting only the distinct ones).

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

The square root of 23868 is about 154.4927182750. The cubic root of 23868 is about 28.7920116734.

The spelling of 23868 in words is "twenty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868