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12320200 = 2352229269
BaseRepresentation
bin101110111111…
…110111001000
3212011221010201
4232333313020
511123221300
61120021544
7206501644
oct56776710
925157121
1012320200
116a55392
1241618b4
132724979
1418c9c24
15113566a
hexbbfdc8

12320200 has 48 divisors (see below), whose sum is σ = 28876500. Its totient is φ = 4888320.

The previous prime is 12320197. The next prime is 12320201. The reversal of 12320200 is 202321.

It can be written as a sum of positive squares in 6 ways, for example, as 4401604 + 7918596 = 2098^2 + 2814^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12320201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45666 + ... + 45934.

Almost surely, 212320200 is an apocalyptic number.

12320200 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 12320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438250).

12320200 is an abundant number, since it is smaller than the sum of its proper divisors (16556300).

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

12320200 is a wasteful number, since it uses less digits than its factorization.

12320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 12320200 is about 3510.0142449853. The cubic root of 12320200 is about 230.9613198355.

Adding to 12320200 its reverse (202321), we get a palindrome (12522521).

The spelling of 12320200 in words is "twelve million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 269 458 538 916 1076 1145 1345 1832 2152 2290 2690 4580 5380 5725 6725 9160 10760 11450 13450 22900 26900 45800 53800 61601 123202 246404 308005 492808 616010 1232020 1540025 2464040 3080050 6160100 12320200