10004130 has 48 divisors (see below), whose sum is σ = 26914680. Its totient is φ = 2575104.

The previous prime is 10004119. The next prime is 10004147. The reversal of 10004130 is 3140001.

It can be written as a sum of positive squares in 4 ways, for example, as 6796449 + 3207681 = 2607^2 + 1791^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694 + ... + 4526.

Almost surely, 2^10004130 is an apocalyptic number.

10004130 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 10004130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13457340).

10004130 is an abundant number, since it is smaller than the sum of its proper divisors (16910550).

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

10004130 is a wasteful number, since it uses less digits than its factorization.

10004130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10004130 is about 3162.9306030958. The cubic root of 10004130 is about 215.4731243052.

Adding to 10004130 its reverse (3140001), we get a palindrome (13144131).

The spelling of 10004130 in words is "ten million, four thousand, one hundred thirty".