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6858090 = 2325181421
BaseRepresentation
bin11010001010010101101010
3110220102112100
4122022111222
53223424330
6402554230
7112202301
oct32122552
913812470
106858090
113964648
122368976
131561755
14ca7438
15907060
hex68a56a

6858090 has 48 divisors (see below), whose sum is σ = 17972136. Its totient is φ = 1814400.

The previous prime is 6858077. The next prime is 6858091. The reversal of 6858090 is 908586.

It can be written as a sum of positive squares in 4 ways, for example, as 1083681 + 5774409 = 1041^2 + 2403^2 .

It is not an unprimeable number, because it can be changed into a prime (6858091) 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, 16080 + ... + 16500.

Almost surely, 26858090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6858090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986068).

6858090 is an abundant number, since it is smaller than the sum of its proper divisors (11114046).

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

6858090 is a wasteful number, since it uses less digits than its factorization.

6858090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6858090 is about 2618.7955246640. The cubic root of 6858090 is about 189.9915970430.

The spelling of 6858090 in words is "six million, eight hundred fifty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 421 543 842 905 1086 1263 1629 1810 2105 2526 2715 3258 3789 4210 5430 6315 7578 8145 12630 16290 18945 37890 76201 152402 228603 381005 457206 685809 762010 1143015 1371618 2286030 3429045 6858090