Base | Representation |
---|---|
bin | 1110010100110… |
… | …1001100001000 |
3 | 11012001122010101 |
4 | 3211031030020 |
5 | 110340210000 |
6 | 5543455144 |
7 | 1326466633 |
oct | 345151410 |
9 | 135048111 |
10 | 60085000 |
11 | 30a09828 |
12 | 181574b4 |
13 | c5a9871 |
14 | 7da0c1a |
15 | 541ce6a |
hex | 394d308 |
60085000 has 80 divisors (see below), whose sum is σ = 143813340. Its totient is φ = 23520000.
The previous prime is 60084991. The next prime is 60085009. The reversal of 60085000 is 58006.
It is an interprime number because it is at equal distance from previous prime (60084991) and next prime (60085009).
It can be written as a sum of positive squares in 10 ways, for example, as 4104676 + 55980324 = 2026^2 + 7482^2 .
It is a super-2 number, since 2×600850002 = 7220414450000000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (60085009) 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 19 ways as a sum of consecutive naturals, for example, 304902 + ... + 305098.
Almost surely, 260085000 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 60085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71906670).
60085000 is an abundant number, since it is smaller than the sum of its proper divisors (83728340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60085000 is a wasteful number, since it uses less digits than its factorization.
60085000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 284 (or 265 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 60085000 is about 7751.4514769816. The cubic root of 60085000 is about 391.6715456361.
The spelling of 60085000 in words is "sixty million, eighty-five thousand".
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