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12706660 = 225635333
BaseRepresentation
bin110000011110…
…001101100100
3212220120021001
4300132031210
511223103120
61132203044
7213001441
oct60361544
925816231
1012706660
11719977a
124309484
13282b845
14198a9c8
1511aee0a
hexc1e364

12706660 has 12 divisors (see below), whose sum is σ = 26684028. Its totient is φ = 5082656.

The previous prime is 12706637. The next prime is 12706691. The reversal of 12706660 is 6660721.

It can be written as a sum of positive squares in 2 ways, for example, as 1790244 + 10916416 = 1338^2 + 3304^2 .

It is a super-3 number, since 3×127066603 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 317647 + ... + 317686.

It is an arithmetic number, because the mean of its divisors is an integer number (2223669).

Almost surely, 212706660 is an apocalyptic number.

12706660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12706660 is an abundant number, since it is smaller than the sum of its proper divisors (13977368).

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

12706660 is a wasteful number, since it uses less digits than its factorization.

12706660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635342 (or 635340 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 12706660 is about 3564.6402343014. The cubic root of 12706660 is about 233.3514317027.

It can be divided in two parts, 12706 and 660, that added together give a triangular number (13366 = T163).

The spelling of 12706660 in words is "twelve million, seven hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 635333 1270666 2541332 3176665 6353330 12706660