Search a number
-
+
13120506 = 23271011031
BaseRepresentation
bin110010000011…
…001111111010
3220200120221200
4302003033322
511324324011
61145115030
7216344130
oct62031772
926616850
1013120506
1174516a3
124488a76
132945019
141a57750
151242856
hexc833fa

13120506 has 48 divisors (see below), whose sum is σ = 32842368. Its totient is φ = 3708000.

The previous prime is 13120489. The next prime is 13120517. The reversal of 13120506 is 60502131.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12211 + ... + 13241.

It is an arithmetic number, because the mean of its divisors is an integer number (684216).

Almost surely, 213120506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16421184).

13120506 is an abundant number, since it is smaller than the sum of its proper divisors (19721862).

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

13120506 is a wasteful number, since it uses less digits than its factorization.

13120506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13120506 is about 3622.2239025218. The cubic root of 13120506 is about 235.8577736355.

Adding to 13120506 its reverse (60502131), we get a palindrome (73622637).

The spelling of 13120506 in words is "thirteen million, one hundred twenty thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1031 1414 1818 2062 2121 3093 4242 6186 6363 7217 9279 12726 14434 18558 21651 43302 64953 104131 129906 208262 312393 624786 728917 937179 1457834 1874358 2186751 4373502 6560253 13120506