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14768 = 241371
BaseRepresentation
bin11100110110000
3202020222
43212300
5433033
6152212
761025
oct34660
922228
1014768
1110106
128668
136950
14554c
154598
hex39b0

14768 has 20 divisors (see below), whose sum is σ = 31248. Its totient is φ = 6720.

The previous prime is 14767. The next prime is 14771. The reversal of 14768 is 86741.

14768 is nontrivially palindromic in base 12.

14768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14768.

It is not an unprimeable number, because it can be changed into a prime (14767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173 + ... + 243.

214768 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 14768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

14768 is an abundant number, since it is smaller than the sum of its proper divisors (16480).

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

14768 is a wasteful number, since it uses less digits than its factorization.

14768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 14768 is about 121.5236602477. The cubic root of 14768 is about 24.5343126053.

The spelling of 14768 in words is "fourteen thousand, seven hundred sixty-eight".