Search a number
-
+
14850 = 2335211
BaseRepresentation
bin11101000000010
3202101000
43220002
5433400
6152430
761203
oct35002
922330
1014850
1110180
128716
1369b4
1455aa
154600
hex3a02

14850 has 48 divisors (see below), whose sum is σ = 44640. Its totient is φ = 3600.

The previous prime is 14843. The next prime is 14851. The reversal of 14850 is 5841.

14850 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

14850 is strictly pandigital in base 6.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (14851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1345 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

214850 is an apocalyptic number.

14850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

14850 is an abundant number, since it is smaller than the sum of its proper divisors (29790).

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

14850 is a wasteful number, since it uses less digits than its factorization.

14850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14850 is about 121.8605760695. The cubic root of 14850 is about 24.5796381180.

Subtracting from 14850 its reverse (5841), we obtain a palindrome (9009).

It can be divided in two parts, 1 and 4850, that added together give a triangular number (4851 = T98).

The spelling of 14850 in words is "fourteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 14850