Search a number
-
+
13132626 = 23131011667
BaseRepresentation
bin110010000110…
…001101010010
3220201012120120
4302012031102
511330221001
61145251110
7216424353
oct62061522
926635516
1013132626
11745a811
124493a96
13294a6b0
141a5bd2a
151246236
hexc86352

13132626 has 32 divisors (see below), whose sum is σ = 28582848. Its totient is φ = 3998400.

The previous prime is 13132589. The next prime is 13132643. The reversal of 13132626 is 62623131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13132596 and 13132605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7045 + ... + 8711.

It is an arithmetic number, because the mean of its divisors is an integer number (893214).

Almost surely, 213132626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14291424).

13132626 is an abundant number, since it is smaller than the sum of its proper divisors (15450222).

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

13132626 is a wasteful number, since it uses less digits than its factorization.

13132626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786.

The product of its digits is 1296, while the sum is 24.

The square root of 13132626 is about 3623.8965217015. The cubic root of 13132626 is about 235.9303754204.

Adding to 13132626 its reverse (62623131), we get a palindrome (75755757).

The spelling of 13132626 in words is "thirteen million, one hundred thirty-two thousand, six hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1313 1667 2626 3334 3939 5001 7878 10002 21671 43342 65013 130026 168367 336734 505101 1010202 2188771 4377542 6566313 13132626