Search a number
-
+
12776364 = 2232675297
BaseRepresentation
bin110000101111…
…001110101100
3220001002212200
4300233032230
511232320424
61133501500
7213411606
oct60571654
926032780
1012776364
117237087
124341890
1328544a3
1419a8176
1511c58c9
hexc2f3ac

12776364 has 36 divisors (see below), whose sum is σ = 32784024. Its totient is φ = 4194432.

The previous prime is 12776363. The next prime is 12776377. The reversal of 12776364 is 46367721.

12776364 is a `hidden beast` number, since 12 + 7 + 7 + 636 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (12776363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237 + ... + 5060.

Almost surely, 212776364 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 12776364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392012).

12776364 is an abundant number, since it is smaller than the sum of its proper divisors (20007660).

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

12776364 is a wasteful number, since it uses less digits than its factorization.

12776364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5369 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 12776364 is about 3574.4040062645. The cubic root of 12776364 is about 233.7773468344. Note that the first 3 decimals are identical.

The spelling of 12776364 in words is "twelve million, seven hundred seventy-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 5297 10594 15891 21188 31782 47673 63564 95346 190692 354899 709798 1064697 1419596 2129394 3194091 4258788 6388182 12776364