Search a number
-
+
130806 = 23213243
BaseRepresentation
bin11111111011110110
320122102200
4133323312
513141211
62445330
71053234
oct377366
9218380
10130806
118a305
1263846
1347700
1435954
1528b56
hex1fef6

130806 has 36 divisors (see below), whose sum is σ = 314028. Its totient is φ = 39312.

The previous prime is 130787. The next prime is 130807. The reversal of 130806 is 608031.

It is a super-2 number, since 2×1308062 = 34220419272, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3021 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (8723).

2130806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157014).

130806 is an abundant number, since it is smaller than the sum of its proper divisors (183222).

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

130806 is a wasteful number, since it uses less digits than its factorization.

130806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130806 is about 361.6711213243. The cubic root of 130806 is about 50.7624477058.

Adding to 130806 its reverse (608031), we get a palindrome (738837).

The spelling of 130806 in words is "one hundred thirty thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 169 234 258 338 387 507 559 774 1014 1118 1521 1677 3042 3354 5031 7267 10062 14534 21801 43602 65403 130806