193930020 has 144 divisors (see below), whose sum is σ = 620081280. Its totient is φ = 48964608.

The previous prime is 193930019. The next prime is 193930027. The reversal of 193930020 is 20039391.

It is not an unprimeable number, because it can be changed into a prime (193930027) 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, 575292 + ... + 575628.

It is an arithmetic number, because the mean of its divisors is an integer number (4306120).

Almost surely, 2^193930020 is an apocalyptic number.

193930020 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 193930020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310040640).

193930020 is an abundant number, since it is smaller than the sum of its proper divisors (426151260).

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

193930020 is a wasteful number, since it uses less digits than its factorization.

193930020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 193930020 is about 13925.8759150008. The cubic root of 193930020 is about 578.8264220572.

The spelling of 193930020 in words is "one hundred ninety-three million, nine hundred thirty thousand, twenty".