Search a number
-
+
2126943 = 32731353
BaseRepresentation
bin1000000111010001011111
311000001121200
420013101133
51021030233
6113330543
724036000
oct10072137
94001550
102126943
111223005
12866a53
13596160
143d51a7
152c0313
hex20745f

2126943 has 48 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 1100736.

The previous prime is 2126933. The next prime is 2126951. The reversal of 2126943 is 3496212.

2126943 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 2126943 - 25 = 2126911 is a prime.

It is a super-3 number, since 3×21269433 = 28866146333018051421, which contains 333 as substring.

2126943 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126903) 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 47 ways as a sum of consecutive naturals, for example, 40105 + ... + 40157.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22126943 is an apocalyptic number.

2126943 is a deficient number, since it is larger than the sum of its proper divisors (1804257).

2126943 is a wasteful number, since it uses less digits than its factorization.

2126943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2126943 is about 1458.4042649417. The cubic root of 2126943 is about 128.6032519110.

It can be divided in two parts, 21269 and 43, that added together give a palindrome (21312).

The spelling of 2126943 in words is "two million, one hundred twenty-six thousand, nine hundred forty-three".

Divisors: 1 3 7 9 13 21 39 49 53 63 91 117 147 159 273 343 371 441 477 637 689 819 1029 1113 1911 2067 2597 3087 3339 4459 4823 5733 6201 7791 13377 14469 18179 23373 33761 40131 43407 54537 101283 163611 236327 303849 708981 2126943