Base | Representation |
---|---|
bin | 10011000100110… |
… | …001111000100000 |
3 | 211022011200220121 |
4 | 103010301320200 |
5 | 1123411120000 |
6 | 51431050024 |
7 | 10634060626 |
oct | 2304617040 |
9 | 738150817 |
10 | 320020000 |
11 | 154708843 |
12 | 8b210914 |
13 | 513ba361 |
14 | 30705516 |
15 | 1d165b1a |
hex | 13131e20 |
320020000 has 60 divisors (see below), whose sum is σ = 787346406. Its totient is φ = 128000000.
The previous prime is 320019979. The next prime is 320020003. The reversal of 320020000 is 20023.
It can be written as a sum of positive squares in 5 ways, for example, as 28430224 + 291589776 = 5332^2 + 17076^2 .
It is not an unprimeable number, because it can be changed into a prime (320020003) 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 9 ways as a sum of consecutive naturals, for example, 12000 + ... + 28000.
Almost surely, 2320020000 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 320020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393673203).
320020000 is an abundant number, since it is smaller than the sum of its proper divisors (467326406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320020000 is an equidigital number, since it uses as much as digits as its factorization.
320020000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16031 (or 16008 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 7.
The square root of 320020000 is about 17889.1028282583. The cubic root of 320020000 is about 684.0046281734.
Adding to 320020000 its reverse (20023), we get a palindrome (320040023).
It can be divided in two parts, 3200 and 20000, that multiplied together give a 6-th power (64000000 = 206).
The spelling of 320020000 in words is "three hundred twenty million, twenty thousand".
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