201742000 has 80 divisors (see below), whose sum is σ = 513583200. Its totient is φ = 76435200.

The previous prime is 201741979. The next prime is 201742033. The reversal of 201742000 is 247102.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35346 + ... + 40654.

It is an arithmetic number, because the mean of its divisors is an integer number (6419790).

Almost surely, 2^201742000 is an apocalyptic number.

201742000 is a gapful number since it is divisible by the number (20) 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 201742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256791600).

201742000 is an abundant number, since it is smaller than the sum of its proper divisors (311841200).

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

201742000 is a wasteful number, since it uses less digits than its factorization.

201742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 201742000 is about 14203.5910952125. The cubic root of 201742000 is about 586.4965214811.

Adding to 201742000 its reverse (247102), we get a palindrome (201989102).

The spelling of 201742000 in words is "two hundred one million, seven hundred forty-two thousand".