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2668743 = 327113851
BaseRepresentation
bin1010001011100011000111
312000120211100
422023203013
51140344433
6133111143
731453410
oct12134307
95016740
102668743
111563080
12a884b3
1372594c
144d6807
1537ab13
hex28b8c7

2668743 has 24 divisors (see below), whose sum is σ = 4807296. Its totient is φ = 1386000.

The previous prime is 2668733. The next prime is 2668769. The reversal of 2668743 is 3478662.

2668743 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 2668743 - 24 = 2668727 is a prime.

2668743 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2668698 and 2668707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668733) 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 23 ways as a sum of consecutive naturals, for example, 1233 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (200304).

22668743 is an apocalyptic number.

2668743 is a deficient number, since it is larger than the sum of its proper divisors (2138553).

2668743 is a wasteful number, since it uses less digits than its factorization.

2668743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3872 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2668743 is about 1633.6287828023. The cubic root of 2668743 is about 138.7082367611.

It can be divided in two parts, 266 and 8743, that added together give a palindrome (9009).

The spelling of 2668743 in words is "two million, six hundred sixty-eight thousand, seven hundred forty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 3851 11553 26957 34659 42361 80871 127083 242613 296527 381249 889581 2668743