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130020 = 223511197
BaseRepresentation
bin11111101111100100
320121100120
4133233210
513130040
62441540
71051032
oct375744
9217316
10130020
1189760
12632b0
1347247
1435552
15287d0
hex1fbe4

130020 has 48 divisors (see below), whose sum is σ = 399168. Its totient is φ = 31360.

The previous prime is 130003. The next prime is 130021. The reversal of 130020 is 20031.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 129990 and 130008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130021) by changing a digit.

130020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2130020 is an apocalyptic number.

130020 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 130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584).

130020 is an abundant number, since it is smaller than the sum of its proper divisors (269148).

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

130020 is a wasteful number, since it uses less digits than its factorization.

130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 130020 is about 360.5828614896. The cubic root of 130020 is about 50.6605679024.

Adding to 130020 its reverse (20031), we get a palindrome (150051).

The spelling of 130020 in words is "one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1182 1970 2167 2364 2955 3940 4334 5910 6501 8668 10835 11820 13002 21670 26004 32505 43340 65010 130020