10493120 has 84 divisors (see below), whose sum is σ = 27566112. Its totient is φ = 3801600.

The previous prime is 10493081. The next prime is 10493123. The reversal of 10493120 is 2139401.

It is a super-2 number, since 2×10493120² = 220211134668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10493092 and 10493101.

It is not an unprimeable number, because it can be changed into a prime (10493123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38585 + ... + 38855.

It is an arithmetic number, because the mean of its divisors is an integer number (328168).

Almost surely, 2^10493120 is an apocalyptic number.

10493120 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 10493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783056).

10493120 is an abundant number, since it is smaller than the sum of its proper divisors (17072992).

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

10493120 is a wasteful number, since it uses less digits than its factorization.

10493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10493120 is about 3239.3085681978. The cubic root of 10493120 is about 218.9281194149.

The spelling of 10493120 in words is "ten million, four hundred ninety-three thousand, one hundred twenty".