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6825340 = 2254753137
BaseRepresentation
bin11010000010010101111100
3110211202121101
4122002111330
53221402330
6402142444
7112004644
oct32022574
913752541
106825340
113941a85
122351a24
13154c882
14c99524
158ec4ca
hex68257c

6825340 has 48 divisors (see below), whose sum is σ = 15023232. Its totient is φ = 2602496.

The previous prime is 6825331. The next prime is 6825349. The reversal of 6825340 is 435286.

It is an interprime number because it is at equal distance from previous prime (6825331) and next prime (6825349).

It is a super-2 number, since 2×68253402 = 93170532231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6825299 and 6825308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825349) 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 15 ways as a sum of consecutive naturals, for example, 49752 + ... + 49888.

It is an arithmetic number, because the mean of its divisors is an integer number (312984).

Almost surely, 26825340 is an apocalyptic number.

It is an amenable number.

6825340 is an abundant number, since it is smaller than the sum of its proper divisors (8197892).

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

6825340 is a wasteful number, since it uses less digits than its factorization.

6825340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6825340 is about 2612.5351672274. The cubic root of 6825340 is about 189.6886868710.

The spelling of 6825340 in words is "six million, eight hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 47 53 94 106 137 188 212 235 265 274 470 530 548 685 940 1060 1370 2491 2740 4982 6439 7261 9964 12455 12878 14522 24910 25756 29044 32195 36305 49820 64390 72610 128780 145220 341267 682534 1365068 1706335 3412670 6825340