Search a number
-
+
2136563 = 111367223
BaseRepresentation
bin1000001001100111110011
311000112210222
420021213303
51021332223
6113443255
724106022
oct10114763
94015728
102136563
11122a260
1287052b
1359a650
143d88b9
152c30c8
hex2099f3

2136563 has 16 divisors (see below), whose sum is σ = 2558976. Its totient is φ = 1758240.

The previous prime is 2136559. The next prime is 2136583. The reversal of 2136563 is 3656312.

2136563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2136563 - 22 = 2136559 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2136553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9470 + ... + 9692.

It is an arithmetic number, because the mean of its divisors is an integer number (159936).

22136563 is an apocalyptic number.

2136563 is a deficient number, since it is larger than the sum of its proper divisors (422413).

2136563 is a wasteful number, since it uses less digits than its factorization.

2136563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314.

The product of its digits is 3240, while the sum is 26.

The square root of 2136563 is about 1461.6986693570. The cubic root of 2136563 is about 128.7968478775.

It can be divided in two parts, 213 and 6563, that added together give a palindrome (6776).

The spelling of 2136563 in words is "two million, one hundred thirty-six thousand, five hundred sixty-three".

Divisors: 1 11 13 67 143 223 737 871 2453 2899 9581 14941 31889 164351 194233 2136563