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12130830 = 2335179251
BaseRepresentation
bin101110010001…
…101000001110
3211211022101000
4232101220032
511101141310
61112001130
7205052565
oct56215016
924738330
1012130830
116936088
1240901a6
13268970a
14187abdc
1510e94c0
hexb91a0e

12130830 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3204000.

The previous prime is 12130771. The next prime is 12130849. The reversal of 12130830 is 3803121.

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

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 31 ways as a sum of consecutive naturals, for example, 48205 + ... + 48455.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 212130830 is an apocalyptic number.

12130830 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 12130830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12130830 is an abundant number, since it is smaller than the sum of its proper divisors (20528370).

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

12130830 is a wasteful number, since it uses less digits than its factorization.

12130830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

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

The square root of 12130830 is about 3482.9341079039. The cubic root of 12130830 is about 229.7718594750.

Adding to 12130830 its reverse (3803121), we get a palindrome (15933951).

The spelling of 12130830 in words is "twelve million, one hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 251 270 358 502 537 753 895 1074 1255 1506 1611 1790 2259 2510 2685 3222 3765 4518 4833 5370 6777 7530 8055 9666 11295 13554 16110 22590 24165 33885 44929 48330 67770 89858 134787 224645 269574 404361 449290 673935 808722 1213083 1347870 2021805 2426166 4043610 6065415 12130830