Search a number
-
+
14608 = 241183
BaseRepresentation
bin11100100010000
3202001001
43210100
5431413
6151344
760406
oct34420
922031
1014608
11aa80
128554
136859
145476
1544dd
hex3910

14608 has 20 divisors (see below), whose sum is σ = 31248. Its totient is φ = 6560.

The previous prime is 14593. The next prime is 14621. The reversal of 14608 is 80641.

14608 is nontrivially palindromic in base 7.

It is a plaindrome in base 15.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135 + ... + 217.

It is equal to the Eulerian number A(9, 2).

214608 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 14608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

14608 is an abundant number, since it is smaller than the sum of its proper divisors (16640).

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

14608 is a wasteful number, since it uses less digits than its factorization.

14608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14608 is about 120.8635594379. The cubic root of 14608 is about 24.4453871690.

The spelling of 14608 in words is "fourteen thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1826 3652 7304 14608