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686000 = 245373
BaseRepresentation
bin10100111011110110000
31021212000102
42213132300
5133423000
622411532
75555000
oct2473660
91255012
10686000
11429447
12290ba8
131b0323
1413c000
15d83d5
hexa77b0

686000 has 80 divisors (see below), whose sum is σ = 1934400. Its totient is φ = 235200.

The previous prime is 685991. The next prime is 686003. The reversal of 686000 is 686.

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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (686003) by changing a digit.

686000 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 97997 + ... + 98003.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2686000 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 686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967200).

686000 is an abundant number, since it is smaller than the sum of its proper divisors (1248400).

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

686000 is an equidigital number, since it uses as much as digits as its factorization.

686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 686000 is about 828.2511696339. The cubic root of 686000 is about 88.1944734926.

Adding to 686000 its reverse (686), we get a palindrome (686686).

686000 divided by its reverse (686) gives a cube (1000 = 103).

The spelling of 686000 in words is "six hundred eighty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 686 700 784 875 980 1000 1225 1372 1400 1715 1750 1960 2000 2450 2744 2800 3430 3500 3920 4900 5488 6125 6860 7000 8575 9800 12250 13720 14000 17150 19600 24500 27440 34300 42875 49000 68600 85750 98000 137200 171500 343000 686000