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14868 = 2232759
BaseRepresentation
bin11101000010100
3202101200
43220110
5433433
6152500
761230
oct35024
922350
1014868
1110197
128730
1369c9
1455c0
154613
hex3a14

14868 has 36 divisors (see below), whose sum is σ = 43680. Its totient is φ = 4176.

The previous prime is 14867. The next prime is 14869. The reversal of 14868 is 86841.

It is an interprime number because it is at equal distance from previous prime (14867) and next prime (14869).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14868.

It is not an unprimeable number, because it can be changed into a prime (14867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 281.

214868 is an apocalyptic number.

14868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840).

14868 is an abundant number, since it is smaller than the sum of its proper divisors (28812).

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

14868 is a wasteful number, since it uses less digits than its factorization.

14868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 71 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14868 is about 121.9344085974. The cubic root of 14868 is about 24.5895652750.

Subtracting from 14868 its sum of digits (27), we obtain a palindrome (14841).

It can be divided in two parts, 148 and 68, that added together give a cube (216 = 63).

The spelling of 14868 in words is "fourteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868