Base | Representation |
---|---|
bin | 1110010011101… |
… | …1100100000000 |
3 | 11011220222002022 |
4 | 3210323210000 |
5 | 110330402200 |
6 | 5542141012 |
7 | 1326046301 |
oct | 344734400 |
9 | 134828068 |
10 | 60012800 |
11 | 3096a561 |
12 | 18121768 |
13 | c582a43 |
14 | 7d827a8 |
15 | 5406885 |
hex | 393b900 |
60012800 has 54 divisors (see below), whose sum is σ = 148556898. Its totient is φ = 24002560.
The previous prime is 60012791. The next prime is 60012809. The reversal of 60012800 is 821006.
It is an interprime number because it is at equal distance from previous prime (60012791) and next prime (60012809).
It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 59969536 = 208^2 + 7744^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (60012809) 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 5 ways as a sum of consecutive naturals, for example, 1712 + ... + 11088.
Almost surely, 260012800 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 60012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74278449).
60012800 is an abundant number, since it is smaller than the sum of its proper divisors (88544098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60012800 is an equidigital number, since it uses as much as digits as its factorization.
60012800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9403 (or 9384 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
The square root of 60012800 is about 7746.7928848008. The cubic root of 60012800 is about 391.5146011962.
Adding to 60012800 its reverse (821006), we get a palindrome (60833806).
The spelling of 60012800 in words is "sixty million, twelve thousand, eight hundred".
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