193038120 has 128 divisors (see below), whose sum is σ = 702000000. Its totient is φ = 46794240.

The previous prime is 193038113. The next prime is 193038173. The reversal of 193038120 is 21830391.

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

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 31 ways as a sum of consecutive naturals, for example, 3756 + ... + 20004.

It is an arithmetic number, because the mean of its divisors is an integer number (5484375).

Almost surely, 2^193038120 is an apocalyptic number.

193038120 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 193038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000000).

193038120 is an abundant number, since it is smaller than the sum of its proper divisors (508961880).

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

193038120 is a wasteful number, since it uses less digits than its factorization.

193038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16280 (or 16270 counting only the distinct ones).

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

The square root of 193038120 is about 13893.8158905320. The cubic root of 193038120 is about 577.9377015665.

The spelling of 193038120 in words is "one hundred ninety-three million, thirty-eight thousand, one hundred twenty".