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2018 = 21009
BaseRepresentation
bin11111100010
32202202
4133202
531033
613202
75612
oct3742
92682
102018
111575
121202
13bc3
14a42
158e8
hex7e2

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 = 24051.

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.

It is not an unprimeable number, because it can be changed into a prime (2011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503 + ... + 506.

2018 is a deficient number, since it is larger than the sum of its proper divisors (1012).

2018 is a wasteful number, since it uses less digits than its factorization.

2018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2018 is about 44.9221548904. The cubic root of 2018 is about 12.6368953011.

The spelling of 2018 in words is "two thousand, eighteen".

Divisors: 1 2 1009 2018