Search a number
-
+
12166792 = 2311212569
BaseRepresentation
bin101110011010…
…011010001000
3211220010200221
4232122122020
511103314132
61112435424
7205262461
oct56323210
924803627
1012166792
116960100
1240a8b74
13269cbb1
141889d68
151104e97
hexb9a688

12166792 has 24 divisors (see below), whose sum is σ = 25077150. Its totient is φ = 5529920.

The previous prime is 12166771. The next prime is 12166799. The reversal of 12166792 is 29766121.

It can be written as a sum of positive squares in only one way, i.e., 6625476 + 5541316 = 2574^2 + 2354^2 .

It is not an unprimeable number, because it can be changed into a prime (12166799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5317 + ... + 7252.

Almost surely, 212166792 is an apocalyptic number.

It is an amenable number.

12166792 is an abundant number, since it is smaller than the sum of its proper divisors (12910358).

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

12166792 is a wasteful number, since it uses less digits than its factorization.

12166792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12582 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 12166792 is about 3488.0928886714. The cubic root of 12166792 is about 229.9986893435.

It can be divided in two parts, 1216 and 6792, that added together give a palindrome (8008).

The spelling of 12166792 in words is "twelve million, one hundred sixty-six thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 12569 25138 50276 100552 138259 276518 553036 1106072 1520849 3041698 6083396 12166792