10314240 has 160 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2555904.

The previous prime is 10314233. The next prime is 10314253. The reversal of 10314240 is 4241301.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 130521 + ... + 130599.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^10314240 is an apocalyptic number.

10314240 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 10314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

10314240 is an abundant number, since it is smaller than the sum of its proper divisors (25040640).

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

10314240 is an equidigital number, since it uses as much as digits as its factorization.

10314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10314240 is about 3211.5790508720. The cubic root of 10314240 is about 217.6769335809.

Adding to 10314240 its reverse (4241301), we get a palindrome (14555541).

The spelling of 10314240 in words is "ten million, three hundred fourteen thousand, two hundred forty".