Search a number
-
+
12317058 = 2321324049
BaseRepresentation
bin101110111111…
…000110000010
3212011202211100
4232333012002
511123121213
61115555230
7206456535
oct56770602
925152740
1012317058
116a52a96
12415bb16
132723400
1418c8a1c
151134773
hexbbf182

12317058 has 36 divisors (see below), whose sum is σ = 28904850. Its totient is φ = 3788928.

The previous prime is 12317057. The next prime is 12317077. The reversal of 12317058 is 85071321.

It can be written as a sum of positive squares in 3 ways, for example, as 4549689 + 7767369 = 2133^2 + 2787^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12317057) 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 17 ways as a sum of consecutive naturals, for example, 1018 + ... + 5066.

Almost surely, 212317058 is an apocalyptic number.

12317058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12317058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452425).

12317058 is an abundant number, since it is smaller than the sum of its proper divisors (16587792).

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

12317058 is a wasteful number, since it uses less digits than its factorization.

12317058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12317058 is about 3509.5666399144. The cubic root of 12317058 is about 230.9416842731.

Adding to 12317058 its reverse (85071321), we get a palindrome (97388379).

The spelling of 12317058 in words is "twelve million, three hundred seventeen thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 4049 8098 12147 24294 36441 52637 72882 105274 157911 315822 473733 684281 947466 1368562 2052843 4105686 6158529 12317058