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12980 = 2251159
BaseRepresentation
bin11001010110100
3122210202
43022310
5403410
6140032
752562
oct31264
918722
1012980
119830
127618
135ba6
144a32
153ca5
hex32b4

12980 has 24 divisors (see below), whose sum is σ = 30240. Its totient is φ = 4640.

The previous prime is 12979. The next prime is 12983. The reversal of 12980 is 8921.

12980 is digitally balanced in base 2, 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 (20).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

212980 is an apocalyptic number.

12980 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 12980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

12980 is an abundant number, since it is smaller than the sum of its proper divisors (17260).

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

12980 is a wasteful number, since it uses less digits than its factorization.

12980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12980 is about 113.9298029490. The cubic root of 12980 is about 23.5012825617.

The spelling of 12980 in words is "twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980