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14385 = 357137
BaseRepresentation
bin11100000110001
3201201210
43200301
5430020
6150333
756640
oct34061
921653
1014385
11a898
1283a9
136717
145357
1543e0
hex3831

14385 has 16 divisors (see below), whose sum is σ = 26496. Its totient is φ = 6528.

The previous prime is 14369. The next prime is 14387. The reversal of 14385 is 58341.

Subtracting 14385 from its reverse (58341), we obtain a triangular number (43956 = T296).

14385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14385 - 24 = 14369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

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 14385.

It is not an unprimeable number, because it can be changed into a prime (14387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1656).

214385 is an apocalyptic number.

14385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14385 is a deficient number, since it is larger than the sum of its proper divisors (12111).

14385 is a wasteful number, since it uses less digits than its factorization.

14385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its digits is 480, while the sum is 21.

The square root of 14385 is about 119.9374837155. The cubic root of 14385 is about 24.3203575447.

The spelling of 14385 in words is "fourteen thousand, three hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 137 411 685 959 2055 2877 4795 14385