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12006976 = 26434363
BaseRepresentation
bin101101110011…
…011001000000
3211121000110211
4231303121000
511033210401
61105203504
7204025522
oct55633100
924530424
1012006976
116861023
124030594
132645227
141847a12
1510c2951
hexb73640

12006976 has 28 divisors (see below), whose sum is σ = 24386032. Its totient is φ = 5862528.

The previous prime is 12006971. The next prime is 12006977. The reversal of 12006976 is 67960021.

It is not an unprimeable number, because it can be changed into a prime (12006971) by changing a digit.

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, 571 + ... + 4933.

Almost surely, 212006976 is an apocalyptic number.

12006976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193016).

12006976 is an abundant number, since it is smaller than the sum of its proper divisors (12379056).

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

12006976 is an equidigital number, since it uses as much as digits as its factorization.

12006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 12006976 is about 3465.1083677138. The cubic root of 12006976 is about 228.9872039531.

Adding to 12006976 its reverse (67960021), we get a palindrome (79966997).

The spelling of 12006976 in words is "twelve million, six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2752 4363 8726 17452 34904 69808 139616 187609 279232 375218 750436 1500872 3001744 6003488 12006976