Search a number (max 15 digits)

Year 2018 has some interesting properties (apart those listed below):

• 2018 is equal to the sum of all the perfect powers from 4=22 to 243=35.

• 2018 is also equal to the sum of the squares from 72 to 182.

• If you write down all the years of the 20th and 21th centuries up to 2018 (so, from 1901 to 2018) and you add all the digits, you get 2018, i.e., 2018 = (1+9+0+1) + (1+9+0+2) + ... + (2+0+1+7) + (2+0+1+8).

• a number made of 1319 eights followed by 699 sevens is prime of 2018 digits and if you change all the sevens into nines, you get another 2018-digits prime.

2018 has 4 divisors (see below), whose sum is σ = 3030 . Its totient is φ = 1008

The previous prime is 2017. The next prime is 2027. The reversal of 2018 is 8102.

Subtracting from 2018 its product of nonzero digits (16), we obtain a palindrome (2002).

Subtracting 2018 from its reverse (8102), we obtain a square (6084 = 782).

2018 = 72 + 82 + ... + 182.

2018 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8102 = 2 ⋅4051.

It can be written as a sum of positive squares in only one way, i.e., 1849 + 169 = 43^2 + 13^2 .

2018 is an undulating number in base 15.

2018 is a modest number, since divided by 18 gives 2 as remainder.

It is a nialpdrome in base 14.