10247742 has 64 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 3164832.

The previous prime is 10247693. The next prime is 10247747. The reversal of 10247742 is 24774201.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10247747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45843 + ... + 46065.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^10247742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10247742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

10247742 is an abundant number, since it is smaller than the sum of its proper divisors (14266818).

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

10247742 is a wasteful number, since it uses less digits than its factorization.

10247742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10247742 is about 3201.2094589389. The cubic root of 10247742 is about 217.2081221590.

It can be divided in two parts, 102477 and 42, that multiplied together give a palindrome (4304034).

The spelling of 10247742 in words is "ten million, two hundred forty-seven thousand, seven hundred forty-two".