10014240 has 96 divisors (see below), whose sum is σ = 32610816. Its totient is φ = 2580480.

The previous prime is 10014229. The next prime is 10014253. The reversal of 10014240 is 4241001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14544 + ... + 15216.

It is an arithmetic number, because the mean of its divisors is an integer number (339696).

Almost surely, 2^10014240 is an apocalyptic number.

10014240 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 10014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305408).

10014240 is an abundant number, since it is smaller than the sum of its proper divisors (22596576).

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

10014240 is a wasteful number, since it uses less digits than its factorization.

10014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10014240 is about 3164.5284008838. The cubic root of 10014240 is about 215.5456843336.

Adding to 10014240 its reverse (4241001), we get a palindrome (14255241).

The spelling of 10014240 in words is "ten million, fourteen thousand, two hundred forty".