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6807060 = 22325132909
BaseRepresentation
bin11001111101111000010100
3110210211112100
4121331320110
53220311220
6401522100
7111600441
oct31757024
913724470
106807060
11392a277
122343330
131544460
14c929c8
158e6d90
hex67de14

6807060 has 72 divisors (see below), whose sum is σ = 22244040. Its totient is φ = 1675008.

The previous prime is 6807013. The next prime is 6807061. The reversal of 6807060 is 607086.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 6081156 = 852^2 + 2466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807061) 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 23 ways as a sum of consecutive naturals, for example, 886 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (308945).

Almost surely, 26807060 is an apocalyptic number.

6807060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122020).

6807060 is an abundant number, since it is smaller than the sum of its proper divisors (15436980).

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

6807060 is a wasteful number, since it uses less digits than its factorization.

6807060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6807060 is about 2609.0343041056. The cubic root of 6807060 is about 189.5191905805.

The spelling of 6807060 in words is "six million, eight hundred seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2909 5818 8727 11636 14545 17454 26181 29090 34908 37817 43635 52362 58180 75634 87270 104724 113451 130905 151268 174540 189085 226902 261810 340353 378170 453804 523620 567255 680706 756340 1134510 1361412 1701765 2269020 3403530 6807060