Search a number
-
+
1218 = 23729
BaseRepresentation
bin10011000010
31200010
4103002
514333
65350
73360
oct2302
91603
101218
11a08
12856
13729
14630
15563
hex4c2

1218 has 16 divisors (see below), whose sum is σ = 2880. Its totient is φ = 336.

The previous prime is 1217. The next prime is 1223. The reversal of 1218 is 8121.

Adding to 1218 its reverse (8121), we get a palindrome (9339).

Subtracting 1218 from its reverse (8121), we obtain a triangular number (6903 = T117).

It can be divided in two parts, 12 and 18, that multiplied together give a cube (216 = 63).

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

1218 is a modest number, since divided by 18 gives 12 as remainder.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 56.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

It is a practical number, because each smaller number is the sum of distinct divisors of 1218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440).

1218 is an abundant number, since it is smaller than the sum of its proper divisors (1662).

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

1218 is a wasteful number, since it uses less digits than its factorization.

1218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41.

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

The square root of 1218 is about 34.8998567332. The cubic root of 1218 is about 10.6794551476.

The spelling of 1218 in words is "one thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218