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12664660 = 225171932
BaseRepresentation
bin110000010011…
…111101010100
3212211102122111
4300103331110
511220232120
61131240404
7212435131
oct60237524
925742574
1012664660
117170168
1242a9104
1328156a8
141979588
1511a275a
hexc13f54

12664660 has 36 divisors (see below), whose sum is σ = 28306908. Its totient is φ = 4743168.

The previous prime is 12664607. The next prime is 12664669. The reversal of 12664660 is 6646621.

12664660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 470596 + 12194064 = 686^2 + 3492^2 .

It is a super-4 number, since 4×126646604 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65524 + ... + 65716.

It is an arithmetic number, because the mean of its divisors is an integer number (786303).

Almost surely, 212664660 is an apocalyptic number.

12664660 is a gapful number since it is divisible by the number (10) 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 12664660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153454).

12664660 is an abundant number, since it is smaller than the sum of its proper divisors (15642248).

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

12664660 is a wasteful number, since it uses less digits than its factorization.

12664660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 12664660 is about 3558.7441605151. The cubic root of 12664660 is about 233.0940449379.

The spelling of 12664660 in words is "twelve million, six hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 6562 13124 16405 32810 37249 65620 74498 148996 186245 372490 633233 744980 1266466 2532932 3166165 6332330 12664660