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5805060 = 2235313121
BaseRepresentation
bin10110001001010000000100
3101220221001020
4112021100010
52441230220
6324231140
7100225242
oct26112004
911827036
105805060
113305478
121b3b4b0
131283361
14ab1792
1579a040
hex589404

5805060 has 48 divisors (see below), whose sum is σ = 16783872. Its totient is φ = 1497600.

The previous prime is 5805053. The next prime is 5805061. The reversal of 5805060 is 605085.

It is a self number, because there is not a number n which added to its sum of digits gives 5805060.

It is not an unprimeable number, because it can be changed into a prime (5805061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300 + ... + 3420.

It is an arithmetic number, because the mean of its divisors is an integer number (349664).

Almost surely, 25805060 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 5805060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391936).

5805060 is an abundant number, since it is smaller than the sum of its proper divisors (10978812).

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

5805060 is a wasteful number, since it uses less digits than its factorization.

5805060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5805060 is about 2409.3692120553. The cubic root of 5805060 is about 179.7224116412.

The spelling of 5805060 in words is "five million, eight hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3121 6242 9363 12484 15605 18726 31210 37452 46815 62420 93630 96751 187260 193502 290253 387004 483755 580506 967510 1161012 1451265 1935020 2902530 5805060