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12967316 = 2237412137
BaseRepresentation
bin110001011101…
…110110010100
3220101210210222
4301131312110
511304423231
61141533512
7215135405
oct61356624
926353728
1012967316
11735759a
124414298
1328c038b
141a179ac
15121227b
hexc5dd94

12967316 has 24 divisors (see below), whose sum is σ = 23885736. Its totient is φ = 6151680.

The previous prime is 12967313. The next prime is 12967327. The reversal of 12967316 is 61376921.

It can be written as a sum of positive squares in 4 ways, for example, as 36100 + 12931216 = 190^2 + 3596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967313) 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 7 ways as a sum of consecutive naturals, for example, 5000 + ... + 7136.

It is an arithmetic number, because the mean of its divisors is an integer number (995239).

It is the magic constant of a 296 × 296 magic square.

Almost surely, 212967316 is an apocalyptic number.

It is an amenable number.

12967316 is a deficient number, since it is larger than the sum of its proper divisors (10918420).

12967316 is a wasteful number, since it uses less digits than its factorization.

12967316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 12967316 is about 3601.0159677513. The cubic root of 12967316 is about 234.9362494948.

The spelling of 12967316 in words is "twelve million, nine hundred sixty-seven thousand, three hundred sixteen".

Divisors: 1 2 4 37 41 74 82 148 164 1517 2137 3034 4274 6068 8548 79069 87617 158138 175234 316276 350468 3241829 6483658 12967316