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14148 = 2233131
BaseRepresentation
bin11011101000100
3201102000
43131010
5423043
6145300
756151
oct33504
921360
1014148
11a6a2
128230
136594
145228
1542d3
hex3744

14148 has 24 divisors (see below), whose sum is σ = 36960. Its totient is φ = 4680.

The previous prime is 14143. The next prime is 14149. The reversal of 14148 is 84141.

14148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 14148.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14148.

It is not an unprimeable number, because it can be changed into a prime (14143) by changing a digit.

14148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

214148 is an apocalyptic number.

14148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

14148 is an abundant number, since it is smaller than the sum of its proper divisors (22812).

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

14148 is a wasteful number, since it uses less digits than its factorization.

14148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 14148 is about 118.9453656096. The cubic root of 14148 is about 24.1860539367.

Adding to 14148 its reverse (84141), we get a palindrome (98289).

The spelling of 14148 in words is "fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 14148