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486000 = 243553
BaseRepresentation
bin1110110101001110000
3220200200000
41312221300
5111023000
614230000
74062624
oct1665160
9820600
10486000
11302159
121b5300
13140298
14c9184
1599000
hex76a70

486000 has 120 divisors (see below), whose sum is σ = 1760304. Its totient is φ = 129600.

The previous prime is 485993. The next prime is 486023. The reversal of 486000 is 684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 486000.

It is an unprimeable number.

486000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97198 + ... + 97202.

2486000 is an apocalyptic number.

486000 is a gapful number since it is divisible by the number (40) 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 486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880152).

486000 is an abundant number, since it is smaller than the sum of its proper divisors (1274304).

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

486000 is an equidigital number, since it uses as much as digits as its factorization.

486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 486000 is about 697.1370023173. The cubic root of 486000 is about 78.6222418263.

486000 divided by its sum of digits (18) gives a cube (27000 = 303).

Adding to 486000 its reverse (684), we get a palindrome (486684).

The spelling of 486000 in words is "four hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 125 135 144 150 162 180 200 216 225 240 243 250 270 300 324 360 375 400 405 432 450 486 500 540 600 648 675 720 750 810 900 972 1000 1080 1125 1200 1215 1296 1350 1500 1620 1800 1944 2000 2025 2160 2250 2430 2700 3000 3240 3375 3600 3888 4050 4500 4860 5400 6000 6075 6480 6750 8100 9000 9720 10125 10800 12150 13500 16200 18000 19440 20250 24300 27000 30375 32400 40500 48600 54000 60750 81000 97200 121500 162000 243000 486000