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12166357 = 72248293
BaseRepresentation
bin101110011010…
…010011010101
3211220010002211
4232122103111
511103310412
61112433421
7205261300
oct56322325
924803084
1012166357
11695a845
1240a8871
13269c938
141889b37
151104ca7
hexb9a4d5

12166357 has 6 divisors (see below), whose sum is σ = 14152758. Its totient is φ = 10428264.

The previous prime is 12166351. The next prime is 12166361. The reversal of 12166357 is 75366121.

12166357 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12152196 + 14161 = 3486^2 + 119^2 .

It is not a de Polignac number, because 12166357 - 219 = 11642069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124098 + ... + 124195.

It is an arithmetic number, because the mean of its divisors is an integer number (2358793).

Almost surely, 212166357 is an apocalyptic number.

It is an amenable number.

12166357 is a deficient number, since it is larger than the sum of its proper divisors (1986401).

12166357 is an equidigital number, since it uses as much as digits as its factorization.

12166357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248307 (or 248300 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 12166357 is about 3488.0305331232. The cubic root of 12166357 is about 229.9959482588.

The spelling of 12166357 in words is "twelve million, one hundred sixty-six thousand, three hundred fifty-seven".

Divisors: 1 7 49 248293 1738051 12166357