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6807064 = 2311103751
BaseRepresentation
bin11001111101111000011000
3110210211112111
4121331320120
53220311224
6401522104
7111600445
oct31757030
913724474
106807064
11392a280
122343334
131544464
14c929cc
158e6d94
hex67de18

6807064 has 32 divisors (see below), whose sum is σ = 14077440. Its totient is φ = 3060000.

The previous prime is 6807061. The next prime is 6807067. The reversal of 6807064 is 4607086.

It is an interprime number because it is at equal distance from previous prime (6807061) and next prime (6807067).

It is a super-2 number, since 2×68070642 = 92672240600192, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 8689 + ... + 9439.

It is an arithmetic number, because the mean of its divisors is an integer number (439920).

Almost surely, 26807064 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 6807064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038720).

6807064 is an abundant number, since it is smaller than the sum of its proper divisors (7270376).

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

6807064 is a wasteful number, since it uses less digits than its factorization.

6807064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6807064 is about 2609.0350706727. The cubic root of 6807064 is about 189.5192277025.

It can be divided in two parts, 680 and 7064, that added together give a square (7744 = 882).

The spelling of 6807064 in words is "six million, eight hundred seven thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 751 824 1133 1502 2266 3004 4532 6008 8261 9064 16522 33044 66088 77353 154706 309412 618824 850883 1701766 3403532 6807064