Search a number
-
+
12763368 = 2332177269
BaseRepresentation
bin110000101100…
…000011101000
3220000110001100
4300230003220
511231411433
61133321400
7213325662
oct60540350
926013040
1012763368
117228342
124336260
13284b5b7
1419a3532
1511c1b13
hexc2c0e8

12763368 has 24 divisors (see below), whose sum is σ = 34567650. Its totient is φ = 4254432.

The previous prime is 12763363. The next prime is 12763381. The reversal of 12763368 is 86336721.

It is a happy number.

12763368 is a `hidden beast` number, since 12 + 7 + 633 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11985444 + 777924 = 3462^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12763363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88563 + ... + 88706.

Almost surely, 212763368 is an apocalyptic number.

12763368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12763368 is an abundant number, since it is smaller than the sum of its proper divisors (21804282).

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

12763368 is a wasteful number, since it uses less digits than its factorization.

12763368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177281 (or 177274 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12763368 is about 3572.5856182882. The cubic root of 12763368 is about 233.6980545538.

It can be divided in two parts, 12763 and 368, that added together give a palindrome (13131).

The spelling of 12763368 in words is "twelve million, seven hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 177269 354538 531807 709076 1063614 1418152 1595421 2127228 3190842 4254456 6381684 12763368