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5286840 = 2335133389
BaseRepresentation
bin10100001010101110111000
3100221121011220
4110022232320
52323134330
6305152040
762636346
oct24125670
910847156
105286840
112a91099
12192b620
131131510
149b8996
156e6710
hex50abb8

5286840 has 64 divisors (see below), whose sum is σ = 17085600. Its totient is φ = 1300992.

The previous prime is 5286839. The next prime is 5286859. The reversal of 5286840 is 486825.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135 + ... + 3254.

Almost surely, 25286840 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 5286840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542800).

5286840 is an abundant number, since it is smaller than the sum of its proper divisors (11798760).

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

5286840 is a wasteful number, since it uses less digits than its factorization.

5286840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5286840 is about 2299.3129408586. The cubic root of 5286840 is about 174.2069146343.

The spelling of 5286840 in words is "five million, two hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3389 6778 10167 13556 16945 20334 27112 33890 40668 44057 50835 67780 81336 88114 101670 132171 135560 176228 203340 220285 264342 352456 406680 440570 528684 660855 881140 1057368 1321710 1762280 2643420 5286840