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5806128 = 243731657
BaseRepresentation
bin10110001001100000110000
3101220222111210
4112021200300
52441244003
6324240120
7100231326
oct26114060
911828453
105806128
113306259
121b40040
1312839a3
14ab1d16
1579a503
hex589830

5806128 has 40 divisors (see below), whose sum is σ = 15213808. Its totient is φ = 1907712.

The previous prime is 5806123. The next prime is 5806139. The reversal of 5806128 is 8216085.

It is a super-2 number, since 2×58061282 = 67422244704768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5806095 and 5806104.

It is not an unprimeable number, because it can be changed into a prime (5806121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676 + ... + 4332.

Almost surely, 25806128 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 5806128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606904).

5806128 is an abundant number, since it is smaller than the sum of its proper divisors (9407680).

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

5806128 is a wasteful number, since it uses less digits than its factorization.

5806128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5806128 is about 2409.5908366360. The cubic root of 5806128 is about 179.7334325877.

The spelling of 5806128 in words is "five million, eight hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1657 1752 3314 3504 4971 6628 9942 13256 19884 26512 39768 79536 120961 241922 362883 483844 725766 967688 1451532 1935376 2903064 5806128