30011800 has 192 divisors, whose sum is σ = 91869120. Its totient is φ = 8847360.

The previous prime is 30011767. The next prime is 30011801. The reversal of 30011800 is 811003.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309352 + ... + 309448.

It is an arithmetic number, because the mean of its divisors is an integer number (478485).

Almost surely, 2^30011800 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 30011800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

30011800 is an abundant number, since it is smaller than the sum of its proper divisors (61857320).

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

30011800 is a wasteful number, since it uses less digits than its factorization.

30011800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 30011800 is about 5478.3026568455. The cubic root of 30011800 is about 310.7639845258.

Adding to 30011800 its reverse (811003), we get a palindrome (30822803).

It can be divided in two parts, 300 and 11800, that added together give a square (12100 = 110²).

The spelling of 30011800 in words is "thirty million, eleven thousand, eight hundred".