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5286000 = 24353881
BaseRepresentation
bin10100001010100001110000
3100221120000210
4110022201300
52323123000
6305144120
762634036
oct24124160
910846023
105286000
112a904a5
12192b040
131131015
149b8556
156e6350
hex50a870

5286000 has 80 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1408000.

The previous prime is 5285989. The next prime is 5286011. The reversal of 5286000 is 6825.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5285989) and next prime (5286011).

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

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, 5560 + ... + 6440.

Almost surely, 25286000 is an apocalyptic number.

5286000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5286000 is an abundant number, since it is smaller than the sum of its proper divisors (11775408).

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

5286000 is a wasteful number, since it uses less digits than its factorization.

5286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5286000 is about 2299.1302703414. The cubic root of 5286000 is about 174.1976878524.

The spelling of 5286000 in words is "five million, two hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 881 1000 1200 1500 1762 2000 2643 3000 3524 4405 5286 6000 7048 8810 10572 13215 14096 17620 21144 22025 26430 35240 42288 44050 52860 66075 70480 88100 105720 110125 132150 176200 211440 220250 264300 330375 352400 440500 528600 660750 881000 1057200 1321500 1762000 2643000 5286000