21142500 has 60 divisors (see below), whose sum is σ = 61667760. Its totient is φ = 5636000.

The previous prime is 21142493. The next prime is 21142529. The reversal of 21142500 is 524112.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21142500.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6091 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (1027796).

Almost surely, 2^21142500 is an apocalyptic number.

21142500 is a gapful number since it is divisible by the number (20) 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 21142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30833880).

21142500 is an abundant number, since it is smaller than the sum of its proper divisors (40525260).

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

21142500 is a wasteful number, since it uses less digits than its factorization.

21142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 21142500 is about 4598.0974326345. The cubic root of 21142500 is about 276.5150537842.

Adding to 21142500 its reverse (524112), we get a palindrome (21666612).

The spelling of 21142500 in words is "twenty-one million, one hundred forty-two thousand, five hundred".