Search a number
-
+
8118 = 2321141
BaseRepresentation
bin1111110110110
3102010200
41332312
5224433
6101330
732445
oct17666
912120
108118
116110
124846
133906
142d5c
152613
hex1fb6

8118 has 24 divisors (see below), whose sum is σ = 19656. Its totient is φ = 2400.

The previous prime is 8117. The next prime is 8123.

Subtracting from 8118 its sum of digits (18), we obtain a square (8100 = 902).

It can be divided in two parts, 81 and 18, that added together give a palindrome (99).

It is a happy number.

8118 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

8118 is a strobogrammatic number because it is the same when read upside-down.

It is a nialpdrome in base 11.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 8118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

28118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828).

8118 is an abundant number, since it is smaller than the sum of its proper divisors (11538).

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

8118 is a wasteful number, since it uses less digits than its factorization.

8118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 8118 is about 90.0999445061. The cubic root of 8118 is about 20.0978537844.

The spelling of 8118 in words is "eight thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118