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12000064 = 26971933
BaseRepresentation
bin101101110001…
…101101000000
3211120122222211
4231301231000
511033000224
61105111504
7203666416
oct55615500
924518884
1012000064
11685690a
124028594
13264203b
1418452b6
1510c0894
hexb71b40

12000064 has 28 divisors (see below), whose sum is σ = 24070564. Its totient is φ = 5935104.

The previous prime is 12000029. The next prime is 12000073. The reversal of 12000064 is 46000021.

It can be written as a sum of positive squares in 2 ways, for example, as 6801664 + 5198400 = 2608^2 + 2280^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5242 + ... + 7174.

It is an arithmetic number, because the mean of its divisors is an integer number (859663).

Almost surely, 212000064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035282).

12000064 is an abundant number, since it is smaller than the sum of its proper divisors (12070500).

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

12000064 is an equidigital number, since it uses as much as digits as its factorization.

12000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12000064 is about 3464.1108527297. The cubic root of 12000064 is about 228.9432555195.

Adding to 12000064 its reverse (46000021), we get a palindrome (58000085).

The spelling of 12000064 in words is "twelve million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 1933 3104 3866 6208 7732 15464 30928 61856 123712 187501 375002 750004 1500008 3000016 6000032 12000064