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14160 = 243559
BaseRepresentation
bin11011101010000
3201102110
43131100
5423120
6145320
756166
oct33520
921373
1014160
11a703
128240
1365a3
145236
1542e0
hex3750

14160 has 40 divisors (see below), whose sum is σ = 44640. Its totient is φ = 3712.

The previous prime is 14159. The next prime is 14173. The reversal of 14160 is 6141.

Adding to 14160 its reverse (6141), we get a triangular number (20301 = T201).

14160 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1192-1.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

14160 is strictly pandigital in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14160.

It is an unprimeable 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, 211 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

214160 is an apocalyptic number.

14160 is a gapful number since it is divisible by the number (10) 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 14160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

14160 is an abundant number, since it is smaller than the sum of its proper divisors (30480).

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

14160 is a wasteful number, since it uses less digits than its factorization.

14160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14160 is about 118.9957982451. The cubic root of 14160 is about 24.1928900179.

The spelling of 14160 in words is "fourteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160