193381020 has 120 divisors (see below), whose sum is σ = 693347424. Its totient is φ = 44198784.

The previous prime is 193381009. The next prime is 193381037. The reversal of 193381020 is 20183391.

193381020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2814 + ... + 19866.

Almost surely, 2^193381020 is an apocalyptic number.

193381020 is a gapful number since it is divisible by the number (10) 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 193381020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346673712).

193381020 is an abundant number, since it is smaller than the sum of its proper divisors (499966404).

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

193381020 is a wasteful number, since it uses less digits than its factorization.

193381020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17081 (or 17070 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 193381020 is about 13906.1504378458. The cubic root of 193381020 is about 578.2797024314.

The spelling of 193381020 in words is "one hundred ninety-three million, three hundred eighty-one thousand, twenty".