Search a number
-
+
13026006 = 2327671543
BaseRepresentation
bin110001101100…
…001011010110
3220111210022200
4301230023112
511313313011
61143105330
7215501460
oct61541326
926453280
1013026006
1173976a4
124442246
132910cc6
141a31130
151224856
hexc6c2d6

13026006 has 48 divisors (see below), whose sum is σ = 32757504. Its totient is φ = 3663792.

The previous prime is 13025993. The next prime is 13026011. The reversal of 13026006 is 60062031.

It is a happy number.

13026006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13026006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7671 + ... + 9213.

It is an arithmetic number, because the mean of its divisors is an integer number (682448).

Almost surely, 213026006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13026006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378752).

13026006 is an abundant number, since it is smaller than the sum of its proper divisors (19731498).

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

13026006 is a wasteful number, since it uses less digits than its factorization.

13026006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13026006 is about 3609.1558569837. The cubic root of 13026006 is about 235.2901561563.

Adding to 13026006 its reverse (60062031), we get a palindrome (73088037).

The spelling of 13026006 in words is "thirteen million, twenty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 1543 2814 3086 4221 4629 8442 9258 10801 13887 21602 27774 32403 64806 97209 103381 194418 206762 310143 620286 723667 930429 1447334 1860858 2171001 4342002 6513003 13026006