14280 has 64 divisors (see below), whose sum is σ = 51840. Its totient is φ = 3072.

The previous prime is 14251. The next prime is 14281. The reversal of 14280 is 8241.

14280 = T_{34} + T_{35} + ... +
T_{49}.

14280 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (15).

14280 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14281) by changing a digit.

14280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

2^{14280} is an apocalyptic number.

14280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 119×120.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920).

14280 is an abundant number, since it is smaller than the sum of its proper divisors (37560).

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

14280 is a wasteful number, since it uses less digits than its factorization.

14280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14280 is about 119.4989539703. The cubic root of 14280 is about 24.2610393639.

It can be divided in two parts, 142 and 80, that added together give a palindrome (222).

The spelling of 14280 in words is "fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280

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