10242080 has 24 divisors (see below), whose sum is σ = 24197292. Its totient is φ = 4096768.

The previous prime is 10242077. The next prime is 10242101. The reversal of 10242080 is 8024201.

It can be written as a sum of positive squares in 2 ways, for example, as 9265936 + 976144 = 3044^2 + 988^2 .

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, 31847 + ... + 32166.

Almost surely, 2^10242080 is an apocalyptic number.

10242080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242080 is an abundant number, since it is smaller than the sum of its proper divisors (13955212).

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

10242080 is an equidigital number, since it uses as much as digits as its factorization.

10242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64028 (or 64020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10242080 is about 3200.3249834978. The cubic root of 10242080 is about 217.1681114276.

Adding to 10242080 its reverse (8024201), we get a palindrome (18266281).

The spelling of 10242080 in words is "ten million, two hundred forty-two thousand, eighty".