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12166920 = 2332533797
BaseRepresentation
bin101110011010…
…011100001000
3211220010212200
4232122130020
511103320140
61112440200
7205263033
oct56323410
924803780
1012166920
116960207
1240a9060
13269cc7c
14188a01a
151105030
hexb9a708

12166920 has 48 divisors (see below), whose sum is σ = 39543660. Its totient is φ = 3244416.

The previous prime is 12166919. The next prime is 12166933. The reversal of 12166920 is 2966121.

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 181476 = 3462^2 + 426^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16539 + ... + 17258.

Almost surely, 212166920 is an apocalyptic number.

12166920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166920 is an abundant number, since it is smaller than the sum of its proper divisors (27376740).

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

12166920 is a wasteful number, since it uses less digits than its factorization.

12166920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33814 (or 33807 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12166920 is about 3488.1112367584. Note that the first 3 decimals coincide. The cubic root of 12166920 is about 229.9994959031. Note that the first 3 decimals are identical.

The spelling of 12166920 in words is "twelve million, one hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33797 67594 101391 135188 168985 202782 270376 304173 337970 405564 506955 608346 675940 811128 1013910 1216692 1351880 1520865 2027820 2433384 3041730 4055640 6083460 12166920