Search a number
-
+
12324200 = 235278803
BaseRepresentation
bin101111000000…
…110101101000
3212012010121212
4233000311220
511123333300
61120052252
7206516420
oct57006550
925163555
1012324200
116a58399
124164088
132726735
1418cb480
151136935
hexbc0d68

12324200 has 48 divisors (see below), whose sum is σ = 32750880. Its totient is φ = 4224960.

The previous prime is 12324163. The next prime is 12324203. The reversal of 12324200 is 242321.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12324203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3002 + ... + 5801.

It is an arithmetic number, because the mean of its divisors is an integer number (682310).

Almost surely, 212324200 is an apocalyptic number.

12324200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324200 is an abundant number, since it is smaller than the sum of its proper divisors (20426680).

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

12324200 is a wasteful number, since it uses less digits than its factorization.

12324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12324200 is about 3510.5839970011. The cubic root of 12324200 is about 230.9863125389.

Adding to 12324200 its reverse (242321), we get a palindrome (12566521).

The spelling of 12324200 in words is "twelve million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8803 17606 35212 44015 61621 70424 88030 123242 176060 220075 246484 308105 352120 440150 492968 616210 880300 1232420 1540525 1760600 2464840 3081050 6162100 12324200