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6800640 = 283571123
BaseRepresentation
bin11001111100010100000000
3110210111201120
4121330110000
53220110030
6401432240
7111542640
oct31742400
913714646
106800640
113925470
12233b680
131541562
14c90520
158e5010
hex67c500

6800640 has 288 divisors, whose sum is σ = 28256256. Its totient is φ = 1351680.

The previous prime is 6800639. The next prime is 6800641. The reversal of 6800640 is 460086.

It is an interprime number because it is at equal distance from previous prime (6800639) and next prime (6800641).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6800640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295669 + ... + 295691.

It is an arithmetic number, because the mean of its divisors is an integer number (98112).

Almost surely, 26800640 is an apocalyptic number.

6800640 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 6800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

6800640 is an abundant number, since it is smaller than the sum of its proper divisors (21455616).

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

6800640 is a wasteful number, since it uses less digits than its factorization.

6800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6800640 is about 2607.8036735920. The cubic root of 6800640 is about 189.4595908946.

The spelling of 6800640 in words is "six million, eight hundred thousand, six hundred forty".