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6827130 = 2325312447
BaseRepresentation
bin11010000010110001111010
3110211212001200
4122002301322
53221432010
6402155030
7112013112
oct32026172
913755050
106827130
113943362
122352a76
13155062b
14c9a042
158eccc0
hex682c7a

6827130 has 48 divisors (see below), whose sum is σ = 18330624. Its totient is φ = 1761120.

The previous prime is 6827087. The next prime is 6827131. The reversal of 6827130 is 317286.

It is a junction number, because it is equal to n+sod(n) for n = 6827094 and 6827103.

It is not an unprimeable number, because it can be changed into a prime (6827131) 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 23 ways as a sum of consecutive naturals, for example, 1567 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (381888).

Almost surely, 26827130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6827130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165312).

6827130 is an abundant number, since it is smaller than the sum of its proper divisors (11503494).

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

6827130 is a wasteful number, since it uses less digits than its factorization.

6827130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6827130 is about 2612.8777238899. The cubic root of 6827130 is about 189.7052678800.

The spelling of 6827130 in words is "six million, eight hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2447 2790 4894 7341 12235 14682 22023 24470 36705 44046 73410 75857 110115 151714 220230 227571 379285 455142 682713 758570 1137855 1365426 2275710 3413565 6827130