15002000 has 80 divisors (see below), whose sum is σ = 39132912. Its totient is φ = 5529600.

The previous prime is 15001991. The next prime is 15002017. The reversal of 15002000 is 20051.

It can be written as a sum of positive squares in 8 ways, for example, as 2835856 + 12166144 = 1684^2 + 3488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25712 + ... + 26288.

Almost surely, 2^15002000 is an apocalyptic number.

15002000 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 15002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566456).

15002000 is an abundant number, since it is smaller than the sum of its proper divisors (24130912).

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

15002000 is a wasteful number, since it uses less digits than its factorization.

15002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 15002000 is about 3873.2415364911. The cubic root of 15002000 is about 246.6321678885.

Adding to 15002000 its reverse (20051), we get a palindrome (15022051).

The spelling of 15002000 in words is "fifteen million, two thousand".