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14288 = 241947
BaseRepresentation
bin11011111010000
3201121012
43133100
5424123
6150052
756441
oct33720
921535
1014288
11a80a
128328
136671
1452c8
154378
hex37d0

14288 has 20 divisors (see below), whose sum is σ = 29760. Its totient is φ = 6624.

The previous prime is 14281. The next prime is 14293. The reversal of 14288 is 88241.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 14288.

It is not an unprimeable number, because it can be changed into a prime (14281) 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, 281 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

214288 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 14288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

14288 is an abundant number, since it is smaller than the sum of its proper divisors (15472).

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

14288 is a wasteful number, since it uses less digits than its factorization.

14288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 14288 is about 119.5324223799. The cubic root of 14288 is about 24.2655690577.

The spelling of 14288 in words is "fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1786 3572 7144 14288