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6720340 = 2251122777
BaseRepresentation
bin11001101000101101010100
3110122102120111
4121220231110
53210022330
6400012404
7111056554
oct31505524
913572514
106720340
113880100
122301104
131513b43
14c6d164
158cb32a
hex668b54

6720340 has 36 divisors (see below), whose sum is σ = 15517908. Its totient is φ = 2442880.

The previous prime is 6720331. The next prime is 6720353. The reversal of 6720340 is 430276.

It can be written as a sum of positive squares in 2 ways, for example, as 1684804 + 5035536 = 1298^2 + 2244^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1032 + ... + 3808.

It is an arithmetic number, because the mean of its divisors is an integer number (431053).

Almost surely, 26720340 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 6720340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758954).

6720340 is an abundant number, since it is smaller than the sum of its proper divisors (8797568).

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

6720340 is a wasteful number, since it uses less digits than its factorization.

6720340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6720340 is about 2592.3618574574. The cubic root of 6720340 is about 188.7109417303.

Subtracting from 6720340 its reverse (430276), we obtain a square (6290064 = 25082).

The spelling of 6720340 in words is "six million, seven hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2777 5554 11108 13885 27770 30547 55540 61094 122188 152735 305470 336017 610940 672034 1344068 1680085 3360170 6720340