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6778420 = 2251122801
BaseRepresentation
bin11001110110111000110100
3110202101020121
4121312320310
53213402140
6401141324
7111421105
oct31667064
913671217
106778420
11390a800
12232a844
1315343cc
14c863ac
158dd64a
hex676e34

6778420 has 36 divisors (see below), whose sum is σ = 15651972. Its totient is φ = 2464000.

The previous prime is 6778417. The next prime is 6778423. The reversal of 6778420 is 248776.

6778420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6778417) and next prime (6778423).

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 3833764 = 1716^2 + 1958^2 .

It is a super-4 number, since 4×67784204 (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6778423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020 + ... + 3820.

It is an arithmetic number, because the mean of its divisors is an integer number (434777).

Almost surely, 26778420 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 6778420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825986).

6778420 is an abundant number, since it is smaller than the sum of its proper divisors (8873552).

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

6778420 is a wasteful number, since it uses less digits than its factorization.

6778420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 6778420 is about 2603.5398979082. The cubic root of 6778420 is about 189.2530228171.

It can be divided in two parts, 67 and 78420, that added together give a palindrome (78487).

The spelling of 6778420 in words is "six million, seven hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2801 5602 11204 14005 28010 30811 56020 61622 123244 154055 308110 338921 616220 677842 1355684 1694605 3389210 6778420