10140240 has 160 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 2337280.

The previous prime is 10140239. The next prime is 10140241. The reversal of 10140240 is 4204101.

It is an interprime number because it is at equal distance from previous prime (10140239) and next prime (10140241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60637 + ... + 60803.

Almost surely, 2^10140240 is an apocalyptic number.

10140240 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 10140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

10140240 is an abundant number, since it is smaller than the sum of its proper divisors (25857456).

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

10140240 is a wasteful number, since it uses less digits than its factorization.

10140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

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

The square root of 10140240 is about 3184.3743498527. The cubic root of 10140240 is about 216.4459237670.

Adding to 10140240 its reverse (4204101), we get a palindrome (14344341).

It can be divided in two parts, 10140 and 240, that multiplied together give a square (2433600 = 1560²).

The spelling of 10140240 in words is "ten million, one hundred forty thousand, two hundred forty".