Search a number
-
+
13262106 = 23111322941
BaseRepresentation
bin110010100101…
…110100011010
3220221210012010
4302211310122
511343341411
61152130350
7220504014
oct62456432
926853163
1013262106
117539020
1245369b6
132994600
141a931b4
15126e7a6
hexca5d1a

13262106 has 96 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3494400.

The previous prime is 13262083. The next prime is 13262107. The reversal of 13262106 is 60126231.

It is a happy number.

13262106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13262107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323446 + ... + 323486.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 213262106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13262106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13262106 is an abundant number, since it is smaller than the sum of its proper divisors (19941414).

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

13262106 is a wasteful number, since it uses less digits than its factorization.

13262106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13262106 is about 3641.7174519724. The cubic root of 13262106 is about 236.7032194638.

Adding to 13262106 its reverse (60126231), we get a palindrome (73388337).

The spelling of 13262106 in words is "thirteen million, two hundred sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 41 58 66 78 82 87 123 143 169 174 246 286 319 338 377 429 451 507 533 638 754 858 902 957 1014 1066 1131 1189 1353 1599 1859 1914 2262 2378 2706 3198 3567 3718 4147 4901 5577 5863 6929 7134 8294 9802 11154 11726 12441 13079 13858 14703 15457 17589 20787 24882 26158 29406 30914 35178 39237 41574 46371 53911 76219 78474 92742 107822 152438 161733 170027 200941 228657 323466 340054 401882 457314 510081 602823 1020162 1205646 2210351 4420702 6631053 13262106