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6086080 = 2657111319
BaseRepresentation
bin10111001101110111000000
3102110012112101
4113031313000
53024223310
6334240144
7102505450
oct27156700
912405471
106086080
113487620
122056054
131351240
14b45d60
1580343a
hex5cddc0

6086080 has 224 divisors, whose sum is σ = 20482560. Its totient is φ = 1658880.

The previous prime is 6086063. The next prime is 6086117. The reversal of 6086080 is 806806.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320311 + ... + 320329.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 26086080 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 6086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

6086080 is an abundant number, since it is smaller than the sum of its proper divisors (14396480).

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

6086080 is a wasteful number, since it uses less digits than its factorization.

6086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6086080 is about 2466.9981759215. The cubic root of 6086080 is about 182.5769238490.

The spelling of 6086080 in words is "six million, eighty-six thousand, eighty".