10202742 has 36 divisors (see below), whose sum is σ = 24222276. Its totient is φ = 3078120.

The previous prime is 10202729. The next prime is 10202747. The reversal of 10202742 is 24720201.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202747) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44833 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (672841).

Almost surely, 2^10202742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111138).

10202742 is an abundant number, since it is smaller than the sum of its proper divisors (14019534).

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

10202742 is a wasteful number, since it uses less digits than its factorization.

10202742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10202742 is about 3194.1731324398. The cubic root of 10202742 is about 216.8897200627.

Adding to 10202742 its reverse (24720201), we get a palindrome (34922943).

The spelling of 10202742 in words is "ten million, two hundred two thousand, seven hundred forty-two".