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6084064 = 257157173
BaseRepresentation
bin10111001101010111100000
3102110002202201
4113031113200
53024142224
6334222544
7102466540
oct27152740
912402681
106084064
113486058
122054a54
13135034c
14b45320
15802a44
hex5cd5e0

6084064 has 48 divisors (see below), whose sum is σ = 13855968. Its totient is φ = 2575872.

The previous prime is 6084037. The next prime is 6084073. The reversal of 6084064 is 4604806.

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 7 ways as a sum of consecutive naturals, for example, 35082 + ... + 35254.

It is an arithmetic number, because the mean of its divisors is an integer number (288666).

Almost surely, 26084064 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 6084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927984).

6084064 is an abundant number, since it is smaller than the sum of its proper divisors (7771904).

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

6084064 is a wasteful number, since it uses less digits than its factorization.

6084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6084064 is about 2466.5895483440. The cubic root of 6084064 is about 182.5567622273.

The spelling of 6084064 in words is "six million, eighty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 173 224 314 346 628 692 1099 1211 1256 1384 2198 2422 2512 2768 4396 4844 5024 5536 8792 9688 17584 19376 27161 35168 38752 54322 108644 190127 217288 380254 434576 760508 869152 1521016 3042032 6084064