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12930 = 235431
BaseRepresentation
bin11001010000010
3122201220
43022002
5403210
6135510
752461
oct31202
918656
1012930
119795
127596
135b68
1449d8
153c70
hex3282

12930 has 16 divisors (see below), whose sum is σ = 31104. Its totient is φ = 3440.

The previous prime is 12923. The next prime is 12941. The reversal of 12930 is 3921.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

212930 is an apocalyptic number.

12930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12930 is an abundant number, since it is smaller than the sum of its proper divisors (18174).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552).

12930 is a wasteful number, since it uses less digits than its factorization.

12930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 12930 is about 113.7101578576. The cubic root of 12930 is about 23.4710674569.

Subtracting from 12930 its reverse (3921), we obtain a palindrome (9009).

The spelling of 12930 in words is "twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 431 862 1293 2155 2586 4310 6465 12930