1003140 has 36 divisors (see below), whose sum is σ = 3043404. Its totient is φ = 267456.

The previous prime is 1003133. The next prime is 1003141. The reversal of 1003140 is 413001.

1003140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171396 + 831744 = 414^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1003141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607 + ... + 2966.

It is an arithmetic number, because the mean of its divisors is an integer number (84539).

2^1003140 is an apocalyptic number.

1003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003140 is an abundant number, since it is smaller than the sum of its proper divisors (2040264).

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

1003140 is a wasteful number, since it uses less digits than its factorization.

1003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5583 counting only the distinct ones).

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

The square root of 1003140 is about 1001.5687694812. The cubic root of 1003140 is about 100.1045573063.

Adding to 1003140 its reverse (413001), we get a palindrome (1416141).

It can be divided in two parts, 100 and 3140, that added together give a triangular number (3240 = T₈₀).

The spelling of 1003140 in words is "one million, three thousand, one hundred forty".