Search a number
-
+
130220 = 22517383
BaseRepresentation
bin11111110010101100
320121121222
4133302230
513131340
62442512
71051436
oct376254
9217558
10130220
1189922
1263438
134736c
1435656
15288b5
hex1fcac

130220 has 24 divisors (see below), whose sum is σ = 290304. Its totient is φ = 48896.

The previous prime is 130211. The next prime is 130223. The reversal of 130220 is 22031.

It is a junction number, because it is equal to n+sod(n) for n = 130198 and 130207.

It is not an unprimeable number, because it can be changed into a prime (130223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2130220 is an apocalyptic number.

130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

130220 is an abundant number, since it is smaller than the sum of its proper divisors (160084).

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

130220 is a wasteful number, since it uses less digits than its factorization.

130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 130220 is about 360.8600836890. The cubic root of 130220 is about 50.6865303771.

Adding to 130220 its reverse (22031), we get a palindrome (152251).

The spelling of 130220 in words is "one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 383 766 1532 1915 3830 6511 7660 13022 26044 32555 65110 130220