Search a number
-
+
12762216 = 23321571129
BaseRepresentation
bin110000101011…
…110001101000
3220000101110200
4300223301220
511231342331
61133312200
7213322425
oct60536150
926011420
1012762216
117227495
124335660
13284ac0c
1419a2d4c
1511c15e6
hexc2bc68

12762216 has 48 divisors (see below), whose sum is σ = 34815300. Its totient is φ = 4223232.

The previous prime is 12762209. The next prime is 12762229. The reversal of 12762216 is 61226721.

12762216 is a `hidden beast` number, since 1 + 27 + 622 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11249316 + 1512900 = 3354^2 + 1230^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12762216.

It is a congruent number.

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, 10740 + ... + 11868.

Almost surely, 212762216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12762216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407650).

12762216 is an abundant number, since it is smaller than the sum of its proper divisors (22053084).

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

12762216 is a wasteful number, since it uses less digits than its factorization.

12762216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12762216 is about 3572.4243868835. The cubic root of 12762216 is about 233.6910232786.

Adding to 12762216 its reverse (61226721), we get a palindrome (73988937).

The spelling of 12762216 in words is "twelve million, seven hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1129 1256 1413 1884 2258 2826 3387 3768 4516 5652 6774 9032 10161 11304 13548 20322 27096 40644 81288 177253 354506 531759 709012 1063518 1418024 1595277 2127036 3190554 4254072 6381108 12762216