Search a number
-
+
12195968 = 27151631
BaseRepresentation
bin101110100001…
…100010000000
3211221121201112
4232201202000
511110232333
61113222452
7205443521
oct56414200
924847645
1012195968
116980014
124101a28
1326b0265
141896848
15110d948
hexba1880

12195968 has 32 divisors (see below), whose sum is σ = 24496320. Its totient is φ = 6048000.

The previous prime is 12195947. The next prime is 12195973. The reversal of 12195968 is 86959121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19013 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (765510).

Almost surely, 212195968 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 12195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248160).

12195968 is an abundant number, since it is smaller than the sum of its proper divisors (12300352).

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

12195968 is an equidigital number, since it uses as much as digits as its factorization.

12195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its digits is 38880, while the sum is 41.

The square root of 12195968 is about 3492.2726124975. The cubic root of 12195968 is about 230.1823884103.

The spelling of 12195968 in words is "twelve million, one hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 631 1208 1262 2416 2524 4832 5048 9664 10096 19328 20192 40384 80768 95281 190562 381124 762248 1524496 3048992 6097984 12195968