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12006064 = 247107197
BaseRepresentation
bin101101110011…
…001010110000
3211120222020001
4231303022300
511033143224
61105155344
7204023050
oct55631260
924528201
1012006064
116860374
12402bb54
1326449a5
141847560
1510c2544
hexb732b0

12006064 has 20 divisors (see below), whose sum is σ = 26585104. Its totient is φ = 5145408.

The previous prime is 12006061. The next prime is 12006077. The reversal of 12006064 is 46060021.

12006064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12006061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53487 + ... + 53710.

Almost surely, 212006064 is an apocalyptic number.

12006064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12006064 is an abundant number, since it is smaller than the sum of its proper divisors (14579040).

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

12006064 is a wasteful number, since it uses less digits than its factorization.

12006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107212 (or 107206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12006064 is about 3464.9767675989. The cubic root of 12006064 is about 228.9814061675.

Adding to 12006064 its reverse (46060021), we get a palindrome (58066085).

The spelling of 12006064 in words is "twelve million, six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 107197 214394 428788 750379 857576 1500758 1715152 3001516 6003032 12006064