Search a number
-
+
6773840 = 24584673
BaseRepresentation
bin11001110101110001010000
3110202010221222
4121311301100
53213230330
6401104212
7111401543
oct31656120
913663858
106773840
113907317
122328068
1315322b8
14c8485a
158dc0e5
hex675c50

6773840 has 20 divisors (see below), whose sum is σ = 15749364. Its totient is φ = 2709504.

The previous prime is 6773827. The next prime is 6773843. The reversal of 6773840 is 483776.

It can be written as a sum of positive squares in 2 ways, for example, as 4426816 + 2347024 = 2104^2 + 1532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6773840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6773843) 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 3 ways as a sum of consecutive naturals, for example, 42257 + ... + 42416.

Almost surely, 26773840 is an apocalyptic number.

It is an amenable number.

6773840 is an abundant number, since it is smaller than the sum of its proper divisors (8975524).

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

6773840 is a wasteful number, since it uses less digits than its factorization.

6773840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84686 (or 84680 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 6773840 is about 2602.6601775875. The cubic root of 6773840 is about 189.2103887845.

Subtracting from 6773840 its reverse (483776), we obtain a square (6290064 = 25082).

The spelling of 6773840 in words is "six million, seven hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 84673 169346 338692 423365 677384 846730 1354768 1693460 3386920 6773840