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130068 = 22323613
BaseRepresentation
bin11111110000010100
320121102100
4133300110
513130233
62442100
71051131
oct376024
9217370
10130068
11897a4
1263330
1347283
1435588
1528813
hex1fc14

130068 has 18 divisors (see below), whose sum is σ = 328874. Its totient is φ = 43344.

The previous prime is 130057. The next prime is 130069. The reversal of 130068 is 860031.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 63504 = 258^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 130068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130069) by changing a digit.

130068 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 5 ways as a sum of consecutive naturals, for example, 1771 + ... + 1842.

2130068 is an apocalyptic number.

130068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130068 is an abundant number, since it is smaller than the sum of its proper divisors (198806).

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

130068 is a wasteful number, since it uses less digits than its factorization.

130068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3618 counting only the distinct ones).

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

The square root of 130068 is about 360.6494142516. The cubic root of 130068 is about 50.6668013231. Note that the first 3 decimals are identical.

Adding to 130068 its reverse (860031), we get a palindrome (990099).

The spelling of 130068 in words is "one hundred thirty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3613 7226 10839 14452 21678 32517 43356 65034 130068