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12986280 = 2332536073
BaseRepresentation
bin110001100010…
…011110101000
3220102202211100
4301202132220
511311030110
61142201400
7215244606
oct61423650
926382740
1012986280
11736a86a
124423260
1328c8bb8
141a20876
151217bc0
hexc627a8

12986280 has 48 divisors (see below), whose sum is σ = 42206580. Its totient is φ = 3462912.

The previous prime is 12986279. The next prime is 12986333. The reversal of 12986280 is 8268921.

12986280 is a `hidden beast` number, since 1 + 29 + 8 + 628 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12574116 + 412164 = 3546^2 + 642^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 17677 + ... + 18396.

Almost surely, 212986280 is an apocalyptic number.

12986280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12986280 is an abundant number, since it is smaller than the sum of its proper divisors (29220300).

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

12986280 is a wasteful number, since it uses less digits than its factorization.

12986280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36090 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12986280 is about 3603.6481515265. The cubic root of 12986280 is about 235.0507209065.

The spelling of 12986280 in words is "twelve million, nine hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 36073 72146 108219 144292 180365 216438 288584 324657 360730 432876 541095 649314 721460 865752 1082190 1298628 1442920 1623285 2164380 2597256 3246570 4328760 6493140 12986280