10241280 has 216 divisors, whose sum is σ = 40814592. Its totient is φ = 2322432.

The previous prime is 10241269. The next prime is 10241281. The reversal of 10241280 is 8214201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 80577 + ... + 80703.

Almost surely, 2^10241280 is an apocalyptic number.

10241280 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 10241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407296).

10241280 is an abundant number, since it is smaller than the sum of its proper divisors (30573312).

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

10241280 is a wasteful number, since it uses less digits than its factorization.

10241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10241280 is about 3200.1999937504. The cubic root of 10241280 is about 217.1624570093.

Adding to 10241280 its reverse (8214201), we get a palindrome (18455481).

It can be divided in two parts, 1024 and 1280, that added together give a square (2304 = 48²).

The spelling of 10241280 in words is "ten million, two hundred forty-one thousand, two hundred eighty".