1711642140 has 108 divisors (see below), whose sum is σ = 5622186024. Its totient is φ = 421319808.

The previous prime is 1711642117. The next prime is 1711642187. The reversal of 1711642140 is 412461171.

1711642140 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 642 + 14 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2287 + ... + 58553.

It is an arithmetic number, because the mean of its divisors is an integer number (52057278).

Almost surely, 2^1711642140 is an apocalyptic number.

1711642140 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 1711642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811093012).

1711642140 is an abundant number, since it is smaller than the sum of its proper divisors (3910543884).

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

1711642140 is a wasteful number, since it uses less digits than its factorization.

1711642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56308 (or 56290 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1711642140 is about 41371.9970511456. The cubic root of 1711642140 is about 1196.2014468490.

The spelling of 1711642140 in words is "one billion, seven hundred eleven million, six hundred forty-two thousand, one hundred forty".