Search a number
-
+
12686928 = 243534987
BaseRepresentation
bin110000011001…
…011001010000
3212212120012020
4300121121100
511221440203
61131531440
7212560062
oct60313120
925776166
1012686928
117185971
1242b9b80
132822877
141983732
1511a9153
hexc19650

12686928 has 40 divisors (see below), whose sum is σ = 33399648. Its totient is φ = 4148352.

The previous prime is 12686923. The next prime is 12686939. The reversal of 12686928 is 82968621.

It is a self number, because there is not a number n which added to its sum of digits gives 12686928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 5037.

Almost surely, 212686928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12686928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699824).

12686928 is an abundant number, since it is smaller than the sum of its proper divisors (20712720).

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

12686928 is a wasteful number, since it uses less digits than its factorization.

12686928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5045 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12686928 is about 3561.8714182295. The cubic root of 12686928 is about 233.2305797001.

The spelling of 12686928 in words is "twelve million, six hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 4987 9974 14961 19948 29922 39896 59844 79792 119688 239376 264311 528622 792933 1057244 1585866 2114488 3171732 4228976 6343464 12686928