15000 has 40 divisors (see below), whose sum is σ = 46860. Its totient is φ = 4000.

The previous prime is 14983. The next prime is 15013. The reversal of 15000 is 51.

Added to its reverse (51) it gives a triangular number (15051 = T_{173}).

15000 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

15000 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

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 (6).

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

15000 is strictly pandigital in base 6.

It is a nialpdrome in base 5 and base 12.

It is a zygodrome in base 5.

It is a self number, because there is not a number *n* which added to its sum of digits gives 15000.

It is a congruent number.

It is an unprimeable 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 9 ways as a sum of consecutive naturals, for example, 2998 + ... + 3002.

2^{15000} is an apocalyptic number.

15000 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 15000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430).

15000 is an abundant number, since it is smaller than the sum of its proper divisors (31860).

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

15000 is an equidigital number, since it uses as much as digits as its factorization.

15000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 15000 is about 122.4744871392. The cubic root of 15000 is about 24.6621207433.

Adding to 15000 its reverse (51), we get a palindrome (15051).

The spelling of 15000 in words is "fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 15000

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