Search a number
-
+
12196864 = 21043277
BaseRepresentation
bin101110100001…
…110000000000
3211221122221201
4232201300000
511110244424
61113230544
7205446241
oct56416000
924848851
1012196864
116980759
124102454
1326b07a4
141896cc8
15110dd44
hexba1c00

12196864 has 44 divisors (see below), whose sum is σ = 25038904. Its totient is φ = 5935104.

The previous prime is 12196853. The next prime is 12196867. The reversal of 12196864 is 46869121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12196867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43894 + ... + 44170.

It is an arithmetic number, because the mean of its divisors is an integer number (569066).

Almost surely, 212196864 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 12196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519452).

12196864 is an abundant number, since it is smaller than the sum of its proper divisors (12842040).

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

12196864 is an equidigital number, since it uses as much as digits as its factorization.

12196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 12196864 is about 3492.4008933683. The cubic root of 12196864 is about 230.1880252013.

The spelling of 12196864 in words is "twelve million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 277 344 512 554 688 1024 1108 1376 2216 2752 4432 5504 8864 11008 11911 17728 22016 23822 35456 44032 47644 70912 95288 141824 190576 283648 381152 762304 1524608 3049216 6098432 12196864