10393120 has 48 divisors (see below), whose sum is σ = 26004888. Its totient is φ = 3911680.

The previous prime is 10393111. The next prime is 10393127. The reversal of 10393120 is 2139301.

It can be written as a sum of positive squares in 4 ways, for example, as 10316944 + 76176 = 3212^2 + 276^2 .

It is not an unprimeable number, because it can be changed into a prime (10393127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 4630.

Almost surely, 2^10393120 is an apocalyptic number.

10393120 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 10393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002444).

10393120 is an abundant number, since it is smaller than the sum of its proper divisors (15611768).

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

10393120 is a wasteful number, since it uses less digits than its factorization.

10393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10393120 is about 3223.8362241280. The cubic root of 10393120 is about 218.2304327697.

The spelling of 10393120 in words is "ten million, three hundred ninety-three thousand, one hundred twenty".