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6831540 = 223454217
BaseRepresentation
bin11010000011110110110100
3110212002010000
4122003312310
53222102130
6402231300
7112032012
oct32036664
913762100
106831540
113946701
122355530
131552641
14c9b8b2
158ee260
hex683db4

6831540 has 60 divisors (see below), whose sum is σ = 21435876. Its totient is φ = 1821312.

The previous prime is 6831533. The next prime is 6831553. The reversal of 6831540 is 451386.

6831540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4435236 + 2396304 = 2106^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 489 + ... + 3728.

Almost surely, 26831540 is an apocalyptic number.

6831540 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 6831540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717938).

6831540 is an abundant number, since it is smaller than the sum of its proper divisors (14604336).

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

6831540 is a wasteful number, since it uses less digits than its factorization.

6831540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6831540 is about 2613.7214847799. The cubic root of 6831540 is about 189.7461059364.

The spelling of 6831540 in words is "six million, eight hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4217 8434 12651 16868 21085 25302 37953 42170 50604 63255 75906 84340 113859 126510 151812 189765 227718 253020 341577 379530 455436 569295 683154 759060 1138590 1366308 1707885 2277180 3415770 6831540