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6494040 = 233357859
BaseRepresentation
bin11000110001011101011000
3110012221011000
4120301131120
53130302130
6351105000
7106125030
oct30613530
913187130
106494040
113736083
122212160
131464b37
14c108c0
15884260
hex631758

6494040 has 128 divisors (see below), whose sum is σ = 24768000. Its totient is φ = 1482624.

The previous prime is 6494039. The next prime is 6494041. The reversal of 6494040 is 404946.

It is an interprime number because it is at equal distance from previous prime (6494039) and next prime (6494041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6493995 and 6494013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6494041) 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 31 ways as a sum of consecutive naturals, for example, 7131 + ... + 7989.

It is an arithmetic number, because the mean of its divisors is an integer number (193500).

Almost surely, 26494040 is an apocalyptic number.

6494040 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 6494040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384000).

6494040 is an abundant number, since it is smaller than the sum of its proper divisors (18273960).

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

6494040 is a wasteful number, since it uses less digits than its factorization.

6494040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6494040 is about 2548.3406365712. The cubic root of 6494040 is about 186.5684999712.

Adding to 6494040 its reverse (404946), we get a palindrome (6898986).

It can be divided in two parts, 64940 and 40, that added together give a triangular number (64980 = T360).

The spelling of 6494040 in words is "six million, four hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 859 945 1080 1260 1512 1718 1890 2520 2577 3436 3780 4295 5154 6013 6872 7560 7731 8590 10308 12026 12885 15462 17180 18039 20616 23193 24052 25770 30065 30924 34360 36078 38655 46386 48104 51540 54117 60130 61848 72156 77310 90195 92772 103080 108234 115965 120260 144312 154620 162351 180390 185544 216468 231930 240520 270585 309240 324702 360780 432936 463860 541170 649404 721560 811755 927720 1082340 1298808 1623510 2164680 3247020 6494040