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680000 = 265417
BaseRepresentation
bin10100110000001000000
31021112210012
42212001000
5133230000
622324052
75531336
oct2460100
91245705
10680000
11424992
12289628
131aa689
14139b56
15d6735
hexa6040

680000 has 70 divisors (see below), whose sum is σ = 1785366. Its totient is φ = 256000.

The previous prime is 679999. The next prime is 680003. The reversal of 680000 is 86.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 173056 + 506944 = 416^2 + 712^2 .

It is not an unprimeable number, because it can be changed into a prime (680003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39992 + ... + 40008.

2680000 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 680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892683).

680000 is an abundant number, since it is smaller than the sum of its proper divisors (1105366).

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

680000 is an equidigital number, since it uses as much as digits as its factorization.

680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 680000 is about 824.6211251235. The cubic root of 680000 is about 87.9365934432.

Adding to 680000 its reverse (86), we get a palindrome (680086).

The spelling of 680000 in words is "six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 20000 21250 27200 34000 40000 42500 68000 85000 136000 170000 340000 680000