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68410000 = 24546841
BaseRepresentation
bin1000001001111…
…01101010010000
311202201120212201
410010331222100
5120003110000
610442132544
71460322031
oct404755220
9152646781
1068410000
113568549a
121aab1154
1311232bb9
14912aa88
15601496a
hex413da90

68410000 has 50 divisors (see below), whose sum is σ = 165651662. Its totient is φ = 27360000.

The previous prime is 68409997. The next prime is 68410007. The reversal of 68410000 is 1486.

It can be written as a sum of positive squares in 5 ways, for example, as 18113536 + 50296464 = 4256^2 + 7092^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 68410000.

It is not an unprimeable number, because it can be changed into a prime (68410007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 6580 + ... + 13420.

Almost surely, 268410000 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 68410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82825831).

68410000 is an abundant number, since it is smaller than the sum of its proper divisors (97241662).

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

68410000 is an equidigital number, since it uses as much as digits as its factorization.

68410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 68410000 is about 8271.0337927009. The cubic root of 68410000 is about 408.9841996275.

Adding to 68410000 its reverse (1486), we get a palindrome (68411486).

The spelling of 68410000 in words is "sixty-eight million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6841 10000 13682 27364 34205 54728 68410 109456 136820 171025 273640 342050 547280 684100 855125 1368200 1710250 2736400 3420500 4275625 6841000 8551250 13682000 17102500 34205000 68410000