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16218 = 2321753
BaseRepresentation
bin11111101011010
3211020200
43331122
51004333
6203030
765166
oct37532
924220
1016218
1111204
129476
1374c7
145ca6
154c13
hex3f5a

16218 has 24 divisors (see below), whose sum is σ = 37908. Its totient is φ = 4992.

The previous prime is 16217. The next prime is 16223. The reversal of 16218 is 81261.

Adding to 16218 its reverse (81261), we get a palindrome (97479).

It can be divided in two parts, 162 and 18, that multiplied together give a square (2916 = 542).

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 1089 = 123^2 + 33^2 .

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 16218.

It is not an unprimeable number, because it can be changed into a prime (16217) 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, 280 + ... + 332.

216218 is an apocalyptic number.

16218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954).

16218 is an abundant number, since it is smaller than the sum of its proper divisors (21690).

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

16218 is a wasteful number, since it uses less digits than its factorization.

16218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 75 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 16218 is about 127.3499116607. The cubic root of 16218 is about 25.3123479643.

The spelling of 16218 in words is "sixteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 16218