Search a number
-
+
18088 = 2371719
BaseRepresentation
bin100011010101000
3220210221
410122220
51034323
6215424
7103510
oct43250
926727
1018088
1112654
12a574
138305
146840
15555d
hex46a8

18088 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 6912.

The previous prime is 18077. The next prime is 18089. The reversal of 18088 is 88081.

Subtracting from 18088 its product of nonzero digits (512), we obtain a cube (17576 = 263).

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (18089) by changing a digit.

18088 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 7 ways as a sum of consecutive naturals, for example, 943 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

218088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

18088 is an abundant number, since it is smaller than the sum of its proper divisors (25112).

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

18088 is a wasteful number, since it uses less digits than its factorization.

18088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 18088 is about 134.4916354276. The cubic root of 18088 is about 26.2500529099.

The spelling of 18088 in words is "eighteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 4522 9044 18088