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14382 = 2321747
BaseRepresentation
bin11100000101110
3201201200
43200232
5430012
6150330
756634
oct34056
921650
1014382
11a895
1283a6
136714
145354
1543dc
hex382e

14382 has 24 divisors (see below), whose sum is σ = 33696. Its totient is φ = 4416.

The previous prime is 14369. The next prime is 14387. The reversal of 14382 is 28341.

It is a happy number.

14382 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14387) 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 11 ways as a sum of consecutive naturals, for example, 283 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

214382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848).

14382 is an abundant number, since it is smaller than the sum of its proper divisors (19314).

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

14382 is a wasteful number, since it uses less digits than its factorization.

14382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14382 is about 119.9249765478. The cubic root of 14382 is about 24.3186667523.

Adding to 14382 its sum of digits (18), we get a square (14400 = 1202).

It can be divided in two parts, 143 and 82, that added together give a square (225 = 152).

The spelling of 14382 in words is "fourteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 1598 2397 4794 7191 14382