10242240 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 2661376.

The previous prime is 10242233. The next prime is 10242241. The reversal of 10242240 is 4224201.

It is a super-3 number, since 3×10242240³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10242241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45007 + ... + 45233.

Almost surely, 2^10242240 is an apocalyptic number.

10242240 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 10242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

10242240 is an abundant number, since it is smaller than the sum of its proper divisors (23115072).

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

10242240 is a wasteful number, since it uses less digits than its factorization.

10242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10242240 is about 3200.3499808615. The cubic root of 10242240 is about 217.1692422759.

Adding to 10242240 its reverse (4224201), we get a palindrome (14466441).

The spelling of 10242240 in words is "ten million, two hundred forty-two thousand, two hundred forty".