10589130 has 80 divisors (see below), whose sum is σ = 30187080. Its totient is φ = 2654208.

The previous prime is 10589129. The next prime is 10589167. The reversal of 10589130 is 3198501.

It can be written as a sum of positive squares in 4 ways, for example, as 9199089 + 1390041 = 3033^2 + 1179^2 .

It is a super-2 number, since 2×10589130² = 224259348313800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10589094 and 10589103.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 13386 + ... + 14154.

Almost surely, 2^10589130 is an apocalyptic number.

10589130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10589130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15093540).

10589130 is an abundant number, since it is smaller than the sum of its proper divisors (19597950).

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

10589130 is a wasteful number, since it uses less digits than its factorization.

10589130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10589130 is about 3254.0943440533. The cubic root of 10589130 is about 219.5938097332.

The spelling of 10589130 in words is "ten million, five hundred eighty-nine thousand, one hundred thirty".