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14208 = 27337
BaseRepresentation
bin11011110000000
3201111020
43132000
5423313
6145440
756265
oct33600
921436
1014208
11a747
128280
13660c
14526c
154323
hex3780

14208 has 32 divisors (see below), whose sum is σ = 38760. Its totient is φ = 4608.

The previous prime is 14207. The next prime is 14221. The reversal of 14208 is 80241.

14208 divided by its product of nonzero digits (64) gives a palindrome (222).

Adding to 14208 its reverse (80241), we get a palindrome (94449).

It can be divided in two parts, 14 and 208, that added together give a palindrome (222).

14208 is nontrivially palindromic in base 7.

14208 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 366 + ... + 402.

214208 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 14208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380).

14208 is an abundant number, since it is smaller than the sum of its proper divisors (24552).

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

14208 is an equidigital number, since it uses as much as digits as its factorization.

14208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14208 is about 119.1973154060. The cubic root of 14208 is about 24.2201957860.

The spelling of 14208 in words is "fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208