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14680 = 235367

14680 has 16 divisors (see below), whose sum is σ = 33120. Its totient is φ = 5856.

The previous prime is 14669. The next prime is 14683. The reversal of 14680 is 8641.

14680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14683) 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 3 ways as a sum of consecutive naturals, for example, 144 + ... + 223.

It is an arithmetic number, because the mean of its divisors is an integer number (2070).

214680 is an apocalyptic number.

14680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14680 is an abundant number, since it is smaller than the sum of its proper divisors (18440).

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 (16560).

14680 is a wasteful number, since it uses less digits than its factorization.

14680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14680 is about 121.1610498469. The cubic root of 14680 is about 24.4854835566.

The spelling of 14680 in words is "fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 367 734 1468 1835 2936 3670 7340 14680