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5806920 = 2335731223
BaseRepresentation
bin10110001001101101001000
3101221000121010
4112021231020
52441310140
6324243520
7100233540
oct26115510
911830533
105806920
113306909
121b405a0
131284162
14ab2320
1579a880
hex589b48

5806920 has 128 divisors (see below), whose sum is σ = 20643840. Its totient is φ = 1278720.

The previous prime is 5806909. The next prime is 5806937. The reversal of 5806920 is 296085.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 25929 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25806920 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 5806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321920).

5806920 is an abundant number, since it is smaller than the sum of its proper divisors (14836920).

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

5806920 is a wasteful number, since it uses less digits than its factorization.

5806920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5806920 is about 2409.7551742864. The cubic root of 5806920 is about 179.7416045517.

The spelling of 5806920 in words is "five million, eight hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 223 248 280 310 372 420 434 446 465 620 651 669 744 840 868 892 930 1085 1115 1240 1302 1338 1561 1736 1784 1860 2170 2230 2604 2676 3122 3255 3345 3720 4340 4460 4683 5208 5352 6244 6510 6690 6913 7805 8680 8920 9366 12488 13020 13380 13826 15610 18732 20739 23415 26040 26760 27652 31220 34565 37464 41478 46830 48391 55304 62440 69130 82956 93660 96782 103695 138260 145173 165912 187320 193564 207390 241955 276520 290346 387128 414780 483910 580692 725865 829560 967820 1161384 1451730 1935640 2903460 5806920