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14406 = 2374

14406 has 20 divisors (see below), whose sum is σ = 33612. Its totient is φ = 4116.

The previous prime is 14401. The next prime is 14407. The reversal of 14406 is 60441.

Multipling 14406 by its product of nonzero digits (96), we get a square (1382976 = 11762).

Adding to 14406 its reverse (60441), we get a palindrome (74847).

It is a Curzon number.

It is a nialpdrome in base 7.

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 14406.

It is not an unprimeable number, because it can be changed into a prime (14401) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2055 + ... + 2061.

214406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806).

14406 is an abundant number, since it is smaller than the sum of its proper divisors (19206).

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

14406 is an frugal number, since it uses more digits than its factorization.

14406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14406 is about 120.0249973964. The cubic root of 14406 is about 24.3321865142.

The spelling of 14406 in words is "fourteen thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 14406