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12766700 = 2252432969
BaseRepresentation
bin110000101100…
…110111101100
3220000121121202
4300230313230
511232013300
61133345032
7213341462
oct60546754
926017552
1012766700
11722a8a1
124338178
13284cc7b
1419a4832
1511c2ad5
hexc2cdec

12766700 has 36 divisors (see below), whose sum is σ = 28357560. Its totient is φ = 4986240.

The previous prime is 12766687. The next prime is 12766709. The reversal of 12766700 is 766721.

It is not an unprimeable number, because it can be changed into a prime (12766709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2816 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 212766700 is an apocalyptic number.

12766700 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 12766700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178780).

12766700 is an abundant number, since it is smaller than the sum of its proper divisors (15590860).

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

12766700 is a wasteful number, since it uses less digits than its factorization.

12766700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 12766700 is about 3573.0519167793. The cubic root of 12766700 is about 233.7183891595.

The spelling of 12766700 in words is "twelve million, seven hundred sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 2969 4300 5938 11876 14845 29690 59380 74225 127667 148450 255334 296900 510668 638335 1276670 2553340 3191675 6383350 12766700