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14310 = 233553
BaseRepresentation
bin11011111100110
3201122000
43133212
5424220
6150130
756502
oct33746
921560
1014310
11a82a
128346
13668a
145302
154390
hex37e6

14310 has 32 divisors (see below), whose sum is σ = 38880. Its totient is φ = 3744.

The previous prime is 14303. The next prime is 14321. The reversal of 14310 is 1341.

It is a super-2 number, since 2×143102 = 409552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 14292 and 14301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

214310 is an apocalyptic number.

14310 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 14310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440).

14310 is an abundant number, since it is smaller than the sum of its proper divisors (24570).

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

14310 is a wasteful number, since it uses less digits than its factorization.

14310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 14310 is about 119.6244122243. The cubic root of 14310 is about 24.2780170037.

Adding to 14310 its reverse (1341), we get a palindrome (15651).

It can be divided in two parts, 143 and 10, that added together give a triangular number (153 = T17).

The spelling of 14310 in words is "fourteen thousand, three hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310