Search a number
-
+
12999968 = 2517231039
BaseRepresentation
bin110001100101…
…110100100000
3220110110121022
4301211310200
511311444333
61142345012
7215332532
oct61456440
926413538
1012999968
11737a083
12442b168
1329021b7
141a25852
15121bc98
hexc65d20

12999968 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 5846016.

The previous prime is 12999967. The next prime is 12999977. The reversal of 12999968 is 86999921.

It is not an unprimeable number, because it can be changed into a prime (12999967) 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, 11993 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 212999968 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 12999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

12999968 is an abundant number, since it is smaller than the sum of its proper divisors (15304672).

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

12999968 is a wasteful number, since it uses less digits than its factorization.

12999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 629856, while the sum is 53.

The square root of 12999968 is about 3605.5468378597. The cubic root of 12999968 is about 235.1332758419.

The spelling of 12999968 in words is "twelve million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1039 1564 2078 3128 4156 6256 8312 12512 16624 17663 23897 33248 35326 47794 70652 95588 141304 191176 282608 382352 406249 565216 764704 812498 1624996 3249992 6499984 12999968