Search a number
-
+
13104 = 2432713
BaseRepresentation
bin11001100110000
3122222100
43030300
5404404
6140400
753130
oct31460
918870
1013104
119933
127700
135c70
144ac0
153d39
hex3330

13104 has 60 divisors (see below), whose sum is σ = 45136. Its totient is φ = 3456.

The previous prime is 13103. The next prime is 13109. The reversal of 13104 is 40131.

Adding to 13104 its reverse (40131), we get a palindrome (53235).

Multipling 13104 by its reverse (40131), we get a square (525876624 = 229322).

13104 = 93 + 103 + ... + 153.

13104 is nontrivially palindromic in base 5.

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

It is a nialpdrome in base 11, base 12 and base 16.

It is a zygodrome in base 2, base 11 and base 12.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002 + ... + 1014.

213104 is an apocalyptic number.

13104 is a gapful number since it is divisible by the number (14) 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 13104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22568).

13104 is an abundant number, since it is smaller than the sum of its proper divisors (32032).

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

13104 is a wasteful number, since it uses less digits than its factorization.

13104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 25 counting only the distinct ones).

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

The square root of 13104 is about 114.4727041700. The cubic root of 13104 is about 23.5758826687.

The spelling of 13104 in words is "thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104