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12668064 = 253131959
BaseRepresentation
bin110000010100…
…110010100000
3212211121022120
4300110302200
511220334224
61131304240
7212451063
oct60246240
925747276
1012668064
117172782
1242ab080
1328170c6
14197a8da
1511a3779
hexc14ca0

12668064 has 24 divisors (see below), whose sum is σ = 33253920. Its totient is φ = 4222656.

The previous prime is 12668059. The next prime is 12668081. The reversal of 12668064 is 46086621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65884 + ... + 66075.

It is an arithmetic number, because the mean of its divisors is an integer number (1385580).

Almost surely, 212668064 is an apocalyptic number.

It is an amenable number.

12668064 is an abundant number, since it is smaller than the sum of its proper divisors (20585856).

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

12668064 is a wasteful number, since it uses less digits than its factorization.

12668064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131972 (or 131964 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 12668064 is about 3559.2223869829. Note that the first 3 decimals coincide. The cubic root of 12668064 is about 233.1149266947.

The spelling of 12668064 in words is "twelve million, six hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131959 263918 395877 527836 791754 1055672 1583508 2111344 3167016 4222688 6334032 12668064