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2118 = 23353
BaseRepresentation
bin100001000110
32220110
4201012
531433
613450
76114
oct4106
92813
102118
111656
121286
13c6c
14ab4
15963
hex846

2118 has 8 divisors (see below), whose sum is σ = 4248. Its totient is φ = 704.

The previous prime is 2113. The next prime is 2129. The reversal of 2118 is 8112.

It is a happy number.

2118 is nontrivially palindromic in base 13.

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

2118 is an admirable number.

2118 is an undulating number in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111) by changing a digit.

2118 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (531).

22118 is an apocalyptic number.

2118 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 (2124).

2118 is a wasteful number, since it uses less digits than its factorization.

2118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358.

The product of its digits is 16, while the sum is 12.

The square root of 2118 is about 46.0217339960. The cubic root of 2118 is about 12.8422755839.

It can be divided in two parts, 21 and 18, that multiplied together give a triangular number (378 = T27).

The spelling of 2118 in words is "two thousand, one hundred eighteen".

Divisors: 1 2 3 6 353 706 1059 2118