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6808920 = 2335232467
BaseRepresentation
bin11001111110010101011000
3110210221002020
4121332111120
53220341140
6401534440
7111606036
oct31762530
913727066
106808920
113930708
122344420
131545261
14c93556
158e76d0
hex67e558

6808920 has 64 divisors (see below), whose sum is σ = 21323520. Its totient is φ = 1736064.

The previous prime is 6808913. The next prime is 6808927. The reversal of 6808920 is 298086.

6808920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6808913) and next prime (6808927).

It is a super-2 number, since 2×68089202 = 92722783132800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6808927) 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 15 ways as a sum of consecutive naturals, for example, 1527 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (333180).

Almost surely, 26808920 is an apocalyptic number.

6808920 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 6808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661760).

6808920 is an abundant number, since it is smaller than the sum of its proper divisors (14514600).

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

6808920 is a wasteful number, since it uses less digits than its factorization.

6808920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6808920 is about 2609.3907334855. The cubic root of 6808920 is about 189.5364507776.

The spelling of 6808920 in words is "six million, eight hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2467 2760 4934 7401 9868 12335 14802 19736 24670 29604 37005 49340 56741 59208 74010 98680 113482 148020 170223 226964 283705 296040 340446 453928 567410 680892 851115 1134820 1361784 1702230 2269640 3404460 6808920