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450820 = 22522541
BaseRepresentation
bin1101110000100000100
3211220102001
41232010010
5103411240
613355044
73555226
oct1560404
9756361
10450820
11288787
12198a84
1312a276
14ba416
158d89a
hex6e104

450820 has 12 divisors (see below), whose sum is σ = 946764. Its totient is φ = 180320.

The previous prime is 450817. The next prime is 450829. The reversal of 450820 is 28054.

It is a happy number.

450820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 264196 + 186624 = 514^2 + 432^2 .

It is not an unprimeable number, because it can be changed into a prime (450829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11251 + ... + 11290.

It is an arithmetic number, because the mean of its divisors is an integer number (78897).

2450820 is an apocalyptic number.

It is an amenable number.

450820 is an abundant number, since it is smaller than the sum of its proper divisors (495944).

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

450820 is a wasteful number, since it uses less digits than its factorization.

450820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22550 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 450820 is about 671.4313069853. The cubic root of 450820 is about 76.6774611980.

Adding to 450820 its reverse (28054), we get a palindrome (478874).

The spelling of 450820 in words is "four hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 22541 45082 90164 112705 225410 450820