14140 has 24 divisors (see below), whose sum is σ = 34272. Its totient is φ = 4800.

The previous prime is 14107. The next prime is 14143. The reversal of 14140 is 4141.

14140 = 12^{3} + 13^{3} + ... + 16^{3}.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (1428).

2^{14140} is an apocalyptic number.

14140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136).

14140 is an abundant number, since it is smaller than the sum of its proper divisors (20132).

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

14140 is a wasteful number, since it uses less digits than its factorization.

14140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14140 is about 118.9117319696. The cubic root of 14140 is about 24.1814944015.

Adding to 14140 its reverse (4141), we get a palindrome (18281).

Subtracting from 14140 its reverse (4141), we obtain a palindrome (9999).

It can be divided in two parts, 141 and 40, that added together give a palindrome (181).

The spelling of 14140 in words is "fourteen thousand, one hundred forty", and thus it is an iban number.

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