Search a number
-
+
605385000 = 233254111223
BaseRepresentation
bin100100000101010…
…111000100101000
31120012010202002200
4210011113010220
52214434310000
6140023300200
721000454563
oct4405270450
91505122080
10605385000
112907a6790
1214a8aa660
139856299c
145a5894da
1538233500
hex24157128

605385000 has 240 divisors, whose sum is σ = 2236908960. Its totient is φ = 146640000.

The previous prime is 605384987. The next prime is 605385023. The reversal of 605385000 is 583506.

605385000 is a `hidden beast` number, since 605 + 3 + 8 + 50 + 0 + 0 = 666.

It is an unprimeable 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 59 ways as a sum of consecutive naturals, for example, 494389 + ... + 495611.

It is an arithmetic number, because the mean of its divisors is an integer number (9320454).

Almost surely, 2605385000 is an apocalyptic number.

605385000 is a gapful number since it is divisible by the number (60) 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 605385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118454480).

605385000 is an abundant number, since it is smaller than the sum of its proper divisors (1631523960).

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

605385000 is a wasteful number, since it uses less digits than its factorization.

605385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 605385000 is about 24604.5727457316. The cubic root of 605385000 is about 845.9484233265.

The spelling of 605385000 in words is "six hundred five million, three hundred eighty-five thousand".