Search a number
-
+
605928960 = 29325713172
BaseRepresentation
bin100100000111011…
…011111000000000
31120020011101021100
4210013123320000
52220104211320
6140043054400
721005211510
oct4407337000
91506141240
10605928960
1129103843a
1214ab11400
13986c3460
145a68b840
15382de790
hex241dbe00

605928960 has 720 divisors, whose sum is σ = 2743636896. Its totient is φ = 120324096.

The previous prime is 605928959. The next prime is 605928991. The reversal of 605928960 is 69829506.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35642872 + ... + 35642888.

Almost surely, 2605928960 is an apocalyptic number.

605928960 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 605928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371818448).

605928960 is an abundant number, since it is smaller than the sum of its proper divisors (2137707936).

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

605928960 is a wasteful number, since it uses less digits than its factorization.

605928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 605928960 is about 24615.6243065253. The cubic root of 605928960 is about 846.2017190800.

The spelling of 605928960 in words is "six hundred five million, nine hundred twenty-eight thousand, nine hundred sixty".