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5806320 = 2435131861
BaseRepresentation
bin10110001001100011110000
3101220222202220
4112021203300
52441300240
6324241040
7100232022
oct26114360
911828686
105806320
113306413
121b40180
131283ac0
14ab2012
1579a5d0
hex5898f0

5806320 has 80 divisors (see below), whose sum is σ = 19394592. Its totient is φ = 1428480.

The previous prime is 5806319. The next prime is 5806337. The reversal of 5806320 is 236085.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190 + ... + 4050.

Almost surely, 25806320 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 5806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9697296).

5806320 is an abundant number, since it is smaller than the sum of its proper divisors (13588272).

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

5806320 is a wasteful number, since it uses less digits than its factorization.

5806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5806320 is about 2409.6306770956. The cubic root of 5806320 is about 179.7354137381.

The spelling of 5806320 in words is "five million, eight hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1861 3120 3722 5583 7444 9305 11166 14888 18610 22332 24193 27915 29776 37220 44664 48386 55830 72579 74440 89328 96772 111660 120965 145158 148880 193544 223320 241930 290316 362895 387088 446640 483860 580632 725790 967720 1161264 1451580 1935440 2903160 5806320