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14058 = 2321171
BaseRepresentation
bin11011011101010
3201021200
43123222
5422213
6145030
755662
oct33352
921250
1014058
11a620
128176
136525
1451a2
154273
hex36ea

14058 has 24 divisors (see below), whose sum is σ = 33696. Its totient is φ = 4200.

The previous prime is 14057. The next prime is 14071. The reversal of 14058 is 85041.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 14058.

It is not an unprimeable number, because it can be changed into a prime (14051) 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, 163 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1404).

214058 is an apocalyptic number.

14058 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 14058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848).

14058 is an abundant number, since it is smaller than the sum of its proper divisors (19638).

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

14058 is a wasteful number, since it uses less digits than its factorization.

14058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

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

The square root of 14058 is about 118.5664370722. The cubic root of 14058 is about 24.1346597021.

Adding to 14058 its reverse (85041), we get a palindrome (99099).

The spelling of 14058 in words is "fourteen thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 14058