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20324000 = 25535081
BaseRepresentation
bin100110110000…
…1111010100000
31102020120021202
41031201322200
520200332000
62003340332
7334515434
oct115417240
942216252
1020324000
11105217a4
1269816a8
134297a48
1429b09c4
151bb6dd5
hex1361ea0

20324000 has 48 divisors (see below), whose sum is σ = 49945896. Its totient is φ = 8128000.

The previous prime is 20323999. The next prime is 20324009. The reversal of 20324000 is 42302.

It can be written as a sum of positive squares in 4 ways, for example, as 2650384 + 17673616 = 1628^2 + 4204^2 .

It is not an unprimeable number, because it can be changed into a prime (20324009) 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 7 ways as a sum of consecutive naturals, for example, 1460 + ... + 6540.

Almost surely, 220324000 is an apocalyptic number.

20324000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972948).

20324000 is an abundant number, since it is smaller than the sum of its proper divisors (29621896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20324000 is an equidigital number, since it uses as much as digits as its factorization.

20324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20324000 is about 4508.2147242562. The cubic root of 20324000 is about 272.8997024075.

Adding to 20324000 its reverse (42302), we get a palindrome (20366302).

The spelling of 20324000 in words is "twenty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5081 10162 20324 25405 40648 50810 81296 101620 127025 162592 203240 254050 406480 508100 635125 812960 1016200 1270250 2032400 2540500 4064800 5081000 10162000 20324000