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13227126 = 23111071873
BaseRepresentation
bin110010011101…
…010001110110
3220220000012120
4302131101312
511341232001
61151300410
7220300023
oct62352166
926800176
1013227126
117514810
12451a706
132981703
141a8454a
151264236
hexc9d476

13227126 has 32 divisors (see below), whose sum is σ = 29144448. Its totient is φ = 3968640.

The previous prime is 13227119. The next prime is 13227127. The reversal of 13227126 is 62172231.

It is a junction number, because it is equal to n+sod(n) for n = 13227096 and 13227105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6126 + ... + 7998.

It is an arithmetic number, because the mean of its divisors is an integer number (910764).

Almost surely, 213227126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13227126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572224).

13227126 is an abundant number, since it is smaller than the sum of its proper divisors (15917322).

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

13227126 is a wasteful number, since it uses less digits than its factorization.

13227126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996.

The product of its digits is 1008, while the sum is 24.

The square root of 13227126 is about 3636.9116018952. The cubic root of 13227126 is about 236.4949275343.

Adding to 13227126 its reverse (62172231), we get a palindrome (75399357).

It can be divided in two parts, 1322 and 7126, that added together give a palindrome (8448).

The spelling of 13227126 in words is "thirteen million, two hundred twenty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 642 1177 1873 2354 3531 3746 5619 7062 11238 20603 41206 61809 123618 200411 400822 601233 1202466 2204521 4409042 6613563 13227126