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12300036 = 2237181809
BaseRepresentation
bin101110111010…
…111100000100
3212010220110220
4232322330010
511122100121
61115344340
7206356110
oct56727404
925126426
1012300036
116a41221
1241520b0
132718738
1418c2740
15112e6c6
hexbbaf04

12300036 has 48 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3490560.

The previous prime is 12300017. The next prime is 12300037. The reversal of 12300036 is 63000321.

It is a junction number, because it is equal to n+sod(n) for n = 12299988 and 12300024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14800 + ... + 15608.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 212300036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12300036 is an abundant number, since it is smaller than the sum of its proper divisors (20722044).

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

12300036 is a wasteful number, since it uses less digits than its factorization.

12300036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12300036 is about 3507.1407157398. The cubic root of 12300036 is about 230.8352491800.

Adding to 12300036 its reverse (63000321), we get a palindrome (75300357).

The spelling of 12300036 in words is "twelve million, three hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 809 1086 1267 1618 2172 2427 2534 3236 3801 4854 5068 5663 7602 9708 11326 15204 16989 22652 33978 67956 146429 292858 439287 585716 878574 1025003 1757148 2050006 3075009 4100012 6150018 12300036