Search a number
-
+
13323104 = 2517191289
BaseRepresentation
bin110010110100…
…101101100000
3221001212212022
4302310231200
511402314404
61153321012
7221146604
oct62645540
927055768
1013323104
11757a933
124566168
1329b62c2
141aab504
1512828be
hexcb4b60

13323104 has 48 divisors (see below), whose sum is σ = 29257200. Its totient is φ = 5935104.

The previous prime is 13323103. The next prime is 13323109. The reversal of 13323104 is 40132331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9692 + ... + 10980.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 213323104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628600).

13323104 is an abundant number, since it is smaller than the sum of its proper divisors (15934096).

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

13323104 is a wasteful number, since it uses less digits than its factorization.

13323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 13323104 is about 3650.0827387883. The cubic root of 13323104 is about 237.0655637060.

Adding to 13323104 its reverse (40132331), we get a palindrome (53455435).

The spelling of 13323104 in words is "thirteen million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1289 1292 2578 2584 5156 5168 10312 10336 20624 21913 24491 41248 43826 48982 87652 97964 175304 195928 350608 391856 416347 701216 783712 832694 1665388 3330776 6661552 13323104