193013280 has 240 divisors, whose sum is σ = 696498264. Its totient is φ = 50319360.

The previous prime is 193013279. The next prime is 193013297. The reversal of 193013280 is 82310391.

It can be written as a sum of positive squares in 4 ways, for example, as 180311184 + 12702096 = 13428^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686740 + ... + 687020.

Almost surely, 2^193013280 is an apocalyptic number.

193013280 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 193013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348249132).

193013280 is an abundant number, since it is smaller than the sum of its proper divisors (503484984).

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

193013280 is a wasteful number, since it uses less digits than its factorization.

193013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 344 counting only the distinct ones).

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

The square root of 193013280 is about 13892.9219388867. The cubic root of 193013280 is about 577.9129109736.

The spelling of 193013280 in words is "one hundred ninety-three million, thirteen thousand, two hundred eighty".