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130830 = 2357289
BaseRepresentation
bin11111111100001110
320122110120
4133330032
513141310
62445410
71053300
oct377416
9218416
10130830
118a327
1263866
134771b
1435970
1528b70
hex1ff0e

130830 has 48 divisors (see below), whose sum is σ = 369360. Its totient is φ = 29568.

The previous prime is 130829. The next prime is 130841. The reversal of 130830 is 38031.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2130830 is an apocalyptic number.

130830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184680).

130830 is an abundant number, since it is smaller than the sum of its proper divisors (238530).

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

130830 is a wasteful number, since it uses less digits than its factorization.

130830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

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

The square root of 130830 is about 361.7042991174. The cubic root of 130830 is about 50.7655521104.

Adding to 130830 its reverse (38031), we get a palindrome (168861).

The spelling of 130830 in words is "one hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 89 98 105 147 178 210 245 267 294 445 490 534 623 735 890 1246 1335 1470 1869 2670 3115 3738 4361 6230 8722 9345 13083 18690 21805 26166 43610 65415 130830