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12664064 = 28737191
BaseRepresentation
bin110000010011…
…110100000000
3212211101211102
4300103310000
511220222224
61131233532
7212433320
oct60236400
925741742
1012664064
11716a776
1242a88a8
13281533a
141979280
1511a24ae
hexc13d00

12664064 has 72 divisors (see below), whose sum is σ = 29826048. Its totient is φ = 5253120.

The previous prime is 12664063. The next prime is 12664079. The reversal of 12664064 is 46046621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66209 + ... + 66399.

Almost surely, 212664064 is an apocalyptic number.

12664064 is a gapful number since it is divisible by the number (14) 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 12664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913024).

12664064 is an abundant number, since it is smaller than the sum of its proper divisors (17161984).

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

12664064 is an equidigital number, since it uses as much as digits as its factorization.

12664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 12664064 is about 3558.6604221252. The cubic root of 12664064 is about 233.0903884052.

The spelling of 12664064 in words is "twelve million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 191 224 256 259 296 382 448 518 592 764 896 1036 1184 1337 1528 1792 2072 2368 2674 3056 4144 4736 5348 6112 7067 8288 9472 10696 12224 14134 16576 21392 24448 28268 33152 42784 48896 49469 56536 66304 85568 98938 113072 171136 197876 226144 342272 395752 452288 791504 904576 1583008 1809152 3166016 6332032 12664064