10180240 has 100 divisors (see below), whose sum is σ = 28133244. Its totient is φ = 3424512.

The previous prime is 10180231. The next prime is 10180241. The reversal of 10180240 is 4208101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 4648336 = 2352^2 + 2156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180241) 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 19 ways as a sum of consecutive naturals, for example, 192054 + ... + 192106.

Almost surely, 2^10180240 is an apocalyptic number.

10180240 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 10180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14066622).

10180240 is an abundant number, since it is smaller than the sum of its proper divisors (17953004).

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

10180240 is an frugal number, since it uses more digits than its factorization.

10180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10180240 is about 3190.6488368355. The cubic root of 10180240 is about 216.7301536505.

Adding to 10180240 its reverse (4208101), we get a palindrome (14388341).

The spelling of 10180240 in words is "ten million, one hundred eighty thousand, two hundred forty".