10001540 has 24 divisors (see below), whose sum is σ = 21517272. Its totient is φ = 3902720.

The previous prime is 10001533. The next prime is 10001567. The reversal of 10001540 is 4510001.

It can be written as a sum of positive squares in 4 ways, for example, as 217156 + 9784384 = 466^2 + 3128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5279 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (896553).

Almost surely, 2^10001540 is an apocalyptic number.

10001540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001540 is an abundant number, since it is smaller than the sum of its proper divisors (11515732).

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

10001540 is a wasteful number, since it uses less digits than its factorization.

10001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10001540 is about 3162.5211461744. The cubic root of 10001540 is about 215.4545278669.

Adding to 10001540 its reverse (4510001), we get a palindrome (14511541).

The spelling of 10001540 in words is "ten million, one thousand, five hundred forty".