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320020000 = 255416001
BaseRepresentation
bin10011000100110…
…001111000100000
3211022011200220121
4103010301320200
51123411120000
651431050024
710634060626
oct2304617040
9738150817
10320020000
11154708843
128b210914
13513ba361
1430705516
151d165b1a
hex13131e20

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".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 16001 20000 32002 64004 80005 128008 160010 256016 320020 400025 512032 640040 800050 1280080 1600100 2000125 2560160 3200200 4000250 6400400 8000500 10000625 12800800 16001000 20001250 32002000 40002500 64004000 80005000 160010000 320020000