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20742 = 233457

20742 has 8 divisors (see below), whose sum is σ = 41496. Its totient is φ = 6912.

The previous prime is 20731. The next prime is 20743. The reversal of 20742 is 24702.

It is a sphenic number, since it is the product of 3 distinct primes.

20742 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20742.

It is not an unprimeable number, because it can be changed into a prime (20743) by changing a digit.

20742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1723 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

220742 is an apocalyptic number.

20742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748).

20742 is a wasteful number, since it uses less digits than its factorization.

20742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20742 is about 144.0208318265. The cubic root of 20742 is about 27.4757913672.

The spelling of 20742 in words is "twenty thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 3457 6914 10371 20742