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12320 = 255711
BaseRepresentation
bin11000000100000
3121220022
43000200
5343240
6133012
750630
oct30040
917808
1012320
119290
127168
1357b9
1446c0
1539b5
hex3020

12320 has 48 divisors (see below), whose sum is σ = 36288. Its totient is φ = 3840.

The previous prime is 12301. The next prime is 12323. The reversal of 12320 is 2321.

Adding to 12320 its reverse (2321), we get a palindrome (14641).

Subtracting from 12320 its reverse (2321), we obtain a palindrome (9999).

It is a Cunningham number, because it is equal to 1112-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12298 and 12307.

It is not an unprimeable number, because it can be changed into a prime (12323) by changing a digit.

12320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

212320 is an apocalyptic number.

12320 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 12320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

12320 is an abundant number, since it is smaller than the sum of its proper divisors (23968).

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

12320 is a wasteful number, since it uses less digits than its factorization.

12320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 12320 is about 110.9954954041. The cubic root of 12320 is about 23.0960070058.

The spelling of 12320 in words is "twelve thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320