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14946 = 234753

14946 has 16 divisors (see below), whose sum is σ = 31104. Its totient is φ = 4784.

The previous prime is 14939. The next prime is 14947. The reversal of 14946 is 64941.

14946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 9 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 14946.

It is not an unprimeable number, because it can be changed into a prime (14947) by changing a digit.

14946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

214946 is an apocalyptic number.

14946 is an abundant number, since it is smaller than the sum of its proper divisors (16158).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552).

14946 is a wasteful number, since it uses less digits than its factorization.

14946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its digits is 864, while the sum is 24.

The square root of 14946 is about 122.2538342957. The cubic root of 14946 is about 24.6324906138.

The spelling of 14946 in words is "fourteen thousand, nine hundred forty-six".

Divisors: 1 2 3 6 47 53 94 106 141 159 282 318 2491 4982 7473 14946