Base | Representation |
---|---|
bin | 100100001000001… |
… | …011010001000000 |
3 | 1120020112020112200 |
4 | 210020023101000 |
5 | 2220131414242 |
6 | 140051153200 |
7 | 21006650442 |
oct | 4410132100 |
9 | 1506466480 |
10 | 606123072 |
11 | 291160265 |
12 | 14aba5800 |
13 | 98760909 |
14 | 5a6dc492 |
15 | 3832c04c |
hex | 2420b440 |
606123072 has 84 divisors (see below), whose sum is σ = 1750251516. Its totient is φ = 200540160.
The previous prime is 606123061. The next prime is 606123079. The reversal of 606123072 is 270321606.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 391090176 + 215032896 = 19776^2 + 14664^2 .
It is not an unprimeable number, because it can be changed into a prime (606123079) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75072 + ... + 82752.
Almost surely, 2606123072 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 606123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875125758).
606123072 is an abundant number, since it is smaller than the sum of its proper divisors (1144128444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
606123072 is a wasteful number, since it uses less digits than its factorization.
606123072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7836 (or 7823 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 606123072 is about 24619.5668524042. The cubic root of 606123072 is about 846.2920709098.
Adding to 606123072 its reverse (270321606), we get a palindrome (876444678).
The spelling of 606123072 in words is "six hundred six million, one hundred twenty-three thousand, seventy-two".
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