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14040 = 2333513
BaseRepresentation
bin11011011011000
3201021000
43123120
5422130
6145000
755635
oct33330
921230
1014040
11a604
128160
136510
14518c
154260
hex36d8

14040 has 64 divisors (see below), whose sum is σ = 50400. Its totient is φ = 3456.

The previous prime is 14033. The next prime is 14051. The reversal of 14040 is 4041.

Adding to 14040 its reverse (4041), we get a palindrome (18081).

Subtracting from 14040 its reverse (4041), we obtain a palindrome (9999).

14040 = T19 + T20 + ... + T44.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8 and base 13.

It is a congruent number.

It is an unprimeable number.

14040 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, 1074 + ... + 1086.

214040 is an apocalyptic number.

14040 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 14040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

14040 is an abundant number, since it is smaller than the sum of its proper divisors (36360).

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

14040 is a wasteful number, since it uses less digits than its factorization.

14040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14040 is about 118.4905059488. The cubic root of 14040 is about 24.1243545515.

The spelling of 14040 in words is "fourteen thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040