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13404 = 2231117
BaseRepresentation
bin11010001011100
3200101110
43101130
5412104
6142020
754036
oct32134
920343
1013404
11a086
127910
136141
144c56
153e89
hex345c

13404 has 12 divisors (see below), whose sum is σ = 31304. Its totient is φ = 4464.

The previous prime is 13399. The next prime is 13411. The reversal of 13404 is 40431.

13404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1117 = 13404 / (1 + 3 + 4 + 0 + 4).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13404.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 547 + ... + 570.

213404 is an apocalyptic number.

It is an amenable number.

13404 is an abundant number, since it is smaller than the sum of its proper divisors (17900).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652).

13404 is a wasteful number, since it uses less digits than its factorization.

13404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13404 is about 115.7756451073. The cubic root of 13404 is about 23.7544405363.

Adding to 13404 its reverse (40431), we get a palindrome (53835).

The spelling of 13404 in words is "thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 1117 2234 3351 4468 6702 13404