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130380 = 22354153
BaseRepresentation
bin11111110101001100
320121211220
4133311030
513133010
62443340
71052055
oct376514
9217756
10130380
1189a58
1263550
1347463
143572c
1528970
hex1fd4c

130380 has 48 divisors (see below), whose sum is σ = 381024. Its totient is φ = 33280.

The previous prime is 130379. The next prime is 130399. The reversal of 130380 is 83031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2434 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2130380 is an apocalyptic number.

130380 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 130380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

130380 is an abundant number, since it is smaller than the sum of its proper divisors (250644).

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

130380 is a wasteful number, since it uses less digits than its factorization.

130380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130380 is about 361.0817082047. The cubic root of 130380 is about 50.7072812234.

It can be divided in two parts, 1 and 30380, that added together give a triangular number (30381 = T246).

The spelling of 130380 in words is "one hundred thirty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 53 60 82 106 123 159 164 205 212 246 265 318 410 492 530 615 636 795 820 1060 1230 1590 2173 2460 3180 4346 6519 8692 10865 13038 21730 26076 32595 43460 65190 130380