14000 has 40 divisors (see below), whose sum is σ = 38688. Its totient is φ = 4800.

The previous prime is 13999. The next prime is 14009. The reversal of 14000 is 41.

Adding to 14000 its reverse (41), we get a palindrome (14041).

14000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 5 and base 7.

It is not an unprimeable number, because it can be changed into a prime (14009) 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 7 ways as a sum of consecutive naturals, for example, 1997 + ... + 2003.

2^{14000} is an apocalyptic number.

14000 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 14000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344).

14000 is an abundant number, since it is smaller than the sum of its proper divisors (24688).

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

14000 is an equidigital number, since it uses as much as digits as its factorization.

14000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 14000 is about 118.3215956620. The cubic root of 14000 is about 24.1014226418.

The spelling of 14000 in words is "fourteen thousand", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000

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