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681303186 = 2321718112301
BaseRepresentation
bin101000100110111…
…101110010010010
31202110222210021100
4220212331302102
52343403200221
6151334405230
722611660444
oct5046756222
91673883240
10681303186
1131a63a193
12170200816
13ab1c41a5
14666ac494
153ec2c926
hex289bdc92

681303186 has 48 divisors (see below), whose sum is σ = 1571752728. Its totient is φ = 212544000.

The previous prime is 681303179. The next prime is 681303221.

681303186 is nontrivially palindromic in base 10.

681303186 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 4 ways, for example, as 425143161 + 256160025 = 20619^2 + 16005^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 681303186.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49236 + ... + 61536.

Almost surely, 2681303186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681303186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785876364).

681303186 is an abundant number, since it is smaller than the sum of its proper divisors (890449542).

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

681303186 is a wasteful number, since it uses less digits than its factorization.

681303186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 681303186 is about 26101.7851113674. The cubic root of 681303186 is about 879.9273295707.

The spelling of 681303186 in words is "six hundred eighty-one million, three hundred three thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 543 1086 1629 3077 3258 6154 9231 12301 18462 24602 27693 36903 55386 73806 110709 209117 221418 418234 627351 1254702 1882053 2226481 3764106 4452962 6679443 13358886 20038329 37850177 40076658 75700354 113550531 227101062 340651593 681303186