10538240 has 36 divisors (see below), whose sum is σ = 25245444. Its totient is φ = 4214784.

The previous prime is 10538237. The next prime is 10538251. The reversal of 10538240 is 4283501.

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 7661824 = 1696^2 + 2768^2 .

It is a super-2 number, since 2×10538240² = 222109004595200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2837 + ... + 5396.

Almost surely, 2^10538240 is an apocalyptic number.

10538240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10538240 is an abundant number, since it is smaller than the sum of its proper divisors (14707204).

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

10538240 is an frugal number, since it uses more digits than its factorization.

10538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 10538240 is about 3246.2655467475. The cubic root of 10538240 is about 219.2414647969.

It can be divided in two parts, 10 and 538240, that multiplied together give a square (5382400 = 2320²).

The spelling of 10538240 in words is "ten million, five hundred thirty-eight thousand, two hundred forty".