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5806420 = 225417397
BaseRepresentation
bin10110001001100101010100
3101220222220121
4112021211110
52441301140
6324241324
7100232224
oct26114524
911828817
105806420
1133064a4
121b40244
131283b69
14ab2084
1579a64a
hex589954

5806420 has 48 divisors (see below), whose sum is σ = 12792528. Its totient is φ = 2211840.

The previous prime is 5806397. The next prime is 5806429. The reversal of 5806420 is 246085.

It can be written as a sum of positive squares in 8 ways, for example, as 662596 + 5143824 = 814^2 + 2268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59812 + ... + 59908.

It is an arithmetic number, because the mean of its divisors is an integer number (266511).

Almost surely, 25806420 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 5806420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396264).

5806420 is an abundant number, since it is smaller than the sum of its proper divisors (6986108).

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

5806420 is a wasteful number, since it uses less digits than its factorization.

5806420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5806420 is about 2409.6514270740. The cubic root of 5806420 is about 179.7364455700.

It can be divided in two parts, 5806 and 420, that added together give a palindrome (6226).

The spelling of 5806420 in words is "five million, eight hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 97 146 164 194 205 292 365 388 410 485 730 820 970 1460 1940 2993 3977 5986 7081 7954 11972 14162 14965 15908 19885 28324 29930 35405 39770 59860 70810 79540 141620 290321 580642 1161284 1451605 2903210 5806420