30024100 has 36 divisors (see below), whose sum is σ = 65753604. Its totient is φ = 11898880.

The previous prime is 30024083. The next prime is 30024101. The reversal of 30024100 is 142003.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 25664356 = 2088^2 + 5066^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30024101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9972 + ... + 12628.

It is an arithmetic number, because the mean of its divisors is an integer number (1826489).

Almost surely, 2^30024100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32876802).

30024100 is an abundant number, since it is smaller than the sum of its proper divisors (35729504).

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

30024100 is a wasteful number, since it uses less digits than its factorization.

30024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30024100 is about 5479.4251523312. The cubic root of 30024100 is about 310.8064331065.

Adding to 30024100 its reverse (142003), we get a palindrome (30166103).

The spelling of 30024100 in words is "thirty million, twenty-four thousand, one hundred".