93004200 has 120 divisors (see below), whose sum is σ = 323073630. Its totient is φ = 24796800.

The previous prime is 93004187. The next prime is 93004207. The reversal of 93004200 is 240039.

It can be written as a sum of positive squares in 3 ways, for example, as 68856804 + 24147396 = 8298^2 + 4914^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (93004207) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 13330 + ... + 19070.

Almost surely, 2^93004200 is an apocalyptic number.

93004200 is a gapful number since it is divisible by the number (90) 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 93004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161536815).

93004200 is an abundant number, since it is smaller than the sum of its proper divisors (230069430).

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

93004200 is a wasteful number, since it uses less digits than its factorization.

93004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 93004200 is about 9643.8685183903. The cubic root of 93004200 is about 453.0723098464.

Adding to 93004200 its reverse (240039), we get a palindrome (93244239).

The spelling of 93004200 in words is "ninety-three million, four thousand, two hundred".