10247940 has 108 divisors (see below), whose sum is σ = 33189156. Its totient is φ = 2558976.

The previous prime is 10247899. The next prime is 10247947. The reversal of 10247940 is 4974201.

10247940 = T₂₁₉ + T₂₂₀ + ... + T₄₁₅.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2762244 + 7485696 = 1662^2 + 2736^2 .

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10247947) 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 35 ways as a sum of consecutive naturals, for example, 51922 + ... + 52118.

It is an arithmetic number, because the mean of its divisors is an integer number (307307).

Almost surely, 2^10247940 is an apocalyptic number.

10247940 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 10247940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594578).

10247940 is an abundant number, since it is smaller than the sum of its proper divisors (22941216).

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

10247940 is a wasteful number, since it uses less digits than its factorization.

10247940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10247940 is about 3201.2403846009. The cubic root of 10247940 is about 217.2095210665.

The spelling of 10247940 in words is "ten million, two hundred forty-seven thousand, nine hundred forty".