Search a number
-
+
13205423 = 7111491151
BaseRepresentation
bin110010010111…
…111110101111
3220211220102202
4302113332233
511340033143
61151012115
7220146530
oct62277657
926756382
1013205423
1174aa480
12450a03b
13297487a
141a7a687
15125cab8
hexc97faf

13205423 has 16 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 10212000.

The previous prime is 13205419. The next prime is 13205461. The reversal of 13205423 is 32450231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13205423 - 22 = 13205419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13205395 and 13205404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10898 + ... + 12048.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 213205423 is an apocalyptic number.

13205423 is a deficient number, since it is larger than the sum of its proper divisors (3383377).

13205423 is a wasteful number, since it uses less digits than its factorization.

13205423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13205423 is about 3633.9266640922. The cubic root of 13205423 is about 236.3655101743.

Adding to 13205423 its reverse (32450231), we get a palindrome (45655654).

The spelling of 13205423 in words is "thirteen million, two hundred five thousand, four hundred twenty-three".

Divisors: 1 7 11 77 149 1043 1151 1639 8057 11473 12661 88627 171499 1200493 1886489 13205423