1003004200 has 96 divisors (see below), whose sum is σ = 2560505760. Its totient is φ = 362361600.

The previous prime is 1003004183. The next prime is 1003004203. The reversal of 1003004200 is 24003001.

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

It is not an unprimeable number, because it can be changed into a prime (1003004203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357202 + ... + 359998.

It is an arithmetic number, because the mean of its divisors is an integer number (26671935).

Almost surely, 2^1003004200 is an apocalyptic number.

1003004200 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 1003004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280252880).

1003004200 is an abundant number, since it is smaller than the sum of its proper divisors (1557501560).

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

1003004200 is a wasteful number, since it uses less digits than its factorization.

1003004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1003004200 is about 31670.2415525995. The cubic root of 1003004200 is about 1001.0003988684. Note that the first 3 decimals are identical.

Adding to 1003004200 its reverse (24003001), we get a palindrome (1027007201).

The spelling of 1003004200 in words is "one billion, three million, four thousand, two hundred".