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12586914 = 2368997
BaseRepresentation
bin110000000000…
…111110100010
3212200111000000
4300000332202
511210240124
61125440430
7211662354
oct60007642
925614000
1012586914
11711780a
124270116
1327b91a2
1419590d4
1511896c9
hexc00fa2

12586914 has 56 divisors (see below), whose sum is σ = 28920780. Its totient is φ = 4105728.

The previous prime is 12586913. The next prime is 12586963. The reversal of 12586914 is 41968521.

It can be written as a sum of positive squares in 2 ways, for example, as 12131289 + 455625 = 3483^2 + 675^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586913) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 129714 + ... + 129810.

Almost surely, 212586914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12586914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460390).

12586914 is an abundant number, since it is smaller than the sum of its proper divisors (16333866).

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

12586914 is an frugal number, since it uses more digits than its factorization.

12586914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 12586914 is about 3547.8041095867. The cubic root of 12586914 is about 232.6160918673.

The spelling of 12586914 in words is "twelve million, five hundred eighty-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 97 162 178 194 243 267 291 486 534 582 729 801 873 1458 1602 1746 2403 2619 4806 5238 7209 7857 8633 14418 15714 17266 21627 23571 25899 43254 47142 51798 64881 70713 77697 129762 141426 155394 233091 466182 699273 1398546 2097819 4195638 6293457 12586914