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6085000 = 23541217
BaseRepresentation
bin10111001101100110001000
3102110011001101
4113031212020
53024210000
6334231144
7102502345
oct27154610
912404041
106085000
113486829
1220554b4
1313508bc
14b457cc
15802e6a
hex5cd988

6085000 has 40 divisors (see below), whose sum is σ = 14268870. Its totient is φ = 2432000.

The previous prime is 6084977. The next prime is 6085103. The reversal of 6085000 is 5806.

It can be written as a sum of positive squares in 5 ways, for example, as 3844 + 6081156 = 62^2 + 2466^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4392 + ... + 5608.

Almost surely, 26085000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134435).

6085000 is an abundant number, since it is smaller than the sum of its proper divisors (8183870).

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

6085000 is a wasteful number, since it uses less digits than its factorization.

6085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 6085000 is about 2466.7792767088. The cubic root of 6085000 is about 182.5661235340.

The spelling of 6085000 in words is "six million, eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1217 1250 2434 2500 4868 5000 6085 9736 12170 24340 30425 48680 60850 121700 152125 243400 304250 608500 760625 1217000 1521250 3042500 6085000