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12966516 = 2232360181
BaseRepresentation
bin110001011101…
…101001110100
3220101202201100
4301131221310
511304412031
61141530100
7215133153
oct61355164
926352640
1012966516
117356a32
124413930
1328bcbc4
141a1759a
151211de6
hexc5da74

12966516 has 18 divisors (see below), whose sum is σ = 32776562. Its totient is φ = 4322160.

The previous prime is 12966497. The next prime is 12966557. The reversal of 12966516 is 61566921.

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 646416 = 3510^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 360181 = 12966516 / (1 + 2 + 9 + 6 + 6 + 5 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

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, 180055 + ... + 180126.

Almost surely, 212966516 is an apocalyptic number.

It is an amenable number.

12966516 is an abundant number, since it is smaller than the sum of its proper divisors (19810046).

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

12966516 is a wasteful number, since it uses less digits than its factorization.

12966516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360191 (or 360186 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12966516 is about 3600.9048862751. The cubic root of 12966516 is about 234.9314180436.

The spelling of 12966516 in words is "twelve million, nine hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 360181 720362 1080543 1440724 2161086 3241629 4322172 6483258 12966516