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6800000 = 275517
BaseRepresentation
bin11001111100001010000000
3110210110211212
4121330022000
53220100000
6401425252
7111541034
oct31741200
913713755
106800000
113924a39
12233b228
13154118c
14c901c4
158e4c35
hex67c280

6800000 has 96 divisors (see below), whose sum is σ = 17928540. Its totient is φ = 2560000.

The previous prime is 6799999. The next prime is 6800033. The reversal of 6800000 is 86.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 287296 + 6512704 = 536^2 + 2552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399992 + ... + 400008.

Almost surely, 26800000 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 6800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964270).

6800000 is an abundant number, since it is smaller than the sum of its proper divisors (11128540).

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

6800000 is an frugal number, since it uses more digits than its factorization.

6800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 6800000 is about 2607.6809620811. The cubic root of 6800000 is about 189.4536474372.

Adding to 6800000 its reverse (86), we get a palindrome (6800086).

The spelling of 6800000 in words is "six million, eight hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 625 640 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2176 2500 2720 3125 3200 3400 4000 4250 5000 5440 6250 6800 8000 8500 10000 10625 10880 12500 13600 16000 17000 20000 21250 25000 27200 34000 40000 42500 50000 53125 54400 68000 80000 85000 100000 106250 136000 170000 200000 212500 272000 340000 400000 425000 680000 850000 1360000 1700000 3400000 6800000