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14432 = 251141
BaseRepresentation
bin11100001100000
3201210112
43201200
5430212
6150452
760035
oct34140
921715
1014432
11a930
128428
136752
14538c
154422
hex3860

14432 has 24 divisors (see below), whose sum is σ = 31752. Its totient is φ = 6400.

The previous prime is 14431. The next prime is 14437. The reversal of 14432 is 23441.

It is a nialpdrome in base 11 and base 15.

It is a zygodrome in base 2 and base 15.

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 14432.

It is not an unprimeable number, because it can be changed into a prime (14431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

214432 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 14432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876).

14432 is an abundant number, since it is smaller than the sum of its proper divisors (17320).

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

14432 is a wasteful number, since it uses less digits than its factorization.

14432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 54 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 14432 is about 120.1332593414. The cubic root of 14432 is about 24.3468159889.

Adding to 14432 its reverse (23441), we get a palindrome (37873).

Subtracting 14432 from its reverse (23441), we obtain a palindrome (9009).

The spelling of 14432 in words is "fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432