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12006964 = 2217176573
BaseRepresentation
bin101101110011…
…011000110100
3211121000110101
4231303120310
511033210324
61105203444
7204025504
oct55633064
924530411
1012006964
116861012
124030584
132645218
141847a04
1510c2944
hexb73634

12006964 has 12 divisors (see below), whose sum is σ = 22248324. Its totient is φ = 5650304.

The previous prime is 12006941. The next prime is 12006971. The reversal of 12006964 is 46960021.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 1392400 = 3258^2 + 1180^2 .

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 3 ways as a sum of consecutive naturals, for example, 88219 + ... + 88354.

It is an arithmetic number, because the mean of its divisors is an integer number (1854027).

Almost surely, 212006964 is an apocalyptic number.

It is an amenable number.

12006964 is a deficient number, since it is larger than the sum of its proper divisors (10241360).

12006964 is a wasteful number, since it uses less digits than its factorization.

12006964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176594 (or 176592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12006964 is about 3465.1066361658. The cubic root of 12006964 is about 228.9871276684.

Adding to 12006964 its reverse (46960021), we get a palindrome (58966985).

The spelling of 12006964 in words is "twelve million, six thousand, nine hundred sixty-four".

Divisors: 1 2 4 17 34 68 176573 353146 706292 3001741 6003482 12006964