20073300 has 72 divisors (see below), whose sum is σ = 62558496. Its totient is φ = 4940160.

The previous prime is 20073299. The next prime is 20073343. The reversal of 20073300 is 337002.

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 20073300.

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 23 ways as a sum of consecutive naturals, for example, 1327 + ... + 6473.

It is an arithmetic number, because the mean of its divisors is an integer number (868868).

Almost surely, 2^20073300 is an apocalyptic number.

20073300 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 20073300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31279248).

20073300 is an abundant number, since it is smaller than the sum of its proper divisors (42485196).

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

20073300 is a wasteful number, since it uses less digits than its factorization.

20073300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 20073300 is about 4480.3236490236. The cubic root of 20073300 is about 271.7729687160.

The spelling of 20073300 in words is "twenty million, seventy-three thousand, three hundred".