10013140 has 24 divisors (see below), whose sum is σ = 21240072. Its totient is φ = 3964800.

The previous prime is 10013137. The next prime is 10013141. The reversal of 10013140 is 4131001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5225796 + 4787344 = 2286^2 + 2188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 459 + ... + 4498.

It is an arithmetic number, because the mean of its divisors is an integer number (885003).

Almost surely, 2^10013140 is an apocalyptic number.

10013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013140 is an abundant number, since it is smaller than the sum of its proper divisors (11226932).

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

10013140 is a wasteful number, since it uses less digits than its factorization.

10013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10013140 is about 3164.3545945421. The cubic root of 10013140 is about 215.5377919412.

Adding to 10013140 its reverse (4131001), we get a palindrome (14144141).

It can be divided in two parts, 10013 and 140, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 10013140 in words is "ten million, thirteen thousand, one hundred forty".