Search a number
-
+
130342806 = 232111813637
BaseRepresentation
bin1111100010011…
…01111110010110
3100002021002201100
413301031332112
5231331432211
620533410530
73141616116
oct761157626
9302232640
10130342806
1167636530
1237799a46
1321008829
141344d046
15b69a156
hex7c4df96

130342806 has 48 divisors (see below), whose sum is σ = 309870288. Its totient is φ = 39268800.

The previous prime is 130342801. The next prime is 130342819. The reversal of 130342806 is 608243031.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130342806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130342801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34020 + ... + 37656.

It is an arithmetic number, because the mean of its divisors is an integer number (6455631).

Almost surely, 2130342806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130342806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154935144).

130342806 is an abundant number, since it is smaller than the sum of its proper divisors (179527482).

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

130342806 is a wasteful number, since it uses less digits than its factorization.

130342806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130342806 is about 11416.7773911906. Note that the first 3 decimals coincide. The cubic root of 130342806 is about 507.0245894496.

Adding to 130342806 its reverse (608243031), we get a palindrome (738585837).

The spelling of 130342806 in words is "one hundred thirty million, three hundred forty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 3258 3637 3982 5973 7274 10911 11946 17919 21822 32733 35838 40007 65466 80014 120021 240042 360063 658297 720126 1316594 1974891 3949782 5924673 7241267 11849346 14482534 21723801 43447602 65171403 130342806