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12300 = 2235241
BaseRepresentation
bin11000000001100
3121212120
43000030
5343200
6132540
750601
oct30014
917776
1012300
119272
127150
1357a2
1446a8
1539a0
hex300c

12300 has 36 divisors (see below), whose sum is σ = 36456. Its totient is φ = 3200.

The previous prime is 12289. The next prime is 12301. The reversal of 12300 is 321.

Adding to 12300 its reverse (321), we get a palindrome (12621).

It can be divided in two parts, 12 and 300, that multiplied together give a square (3600 = 602).

12300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

12300 is strictly pandigital in base 6.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12301) by changing a digit.

12300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280 + ... + 320.

212300 is an apocalyptic number.

12300 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 12300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228).

12300 is an abundant number, since it is smaller than the sum of its proper divisors (24156).

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

12300 is a wasteful number, since it uses less digits than its factorization.

12300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 12300 is about 110.9053650641. The cubic root of 12300 is about 23.0835023975.

The spelling of 12300 in words is "twelve thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300