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450920 = 23511273
BaseRepresentation
bin1101110000101101000
3211220112202
41232011220
5103412140
613355332
73555431
oct1560550
9756482
10450920
11288868
12198b48
1312a322
14ba488
158d915
hex6e168

450920 has 16 divisors (see below), whose sum is σ = 1014660. Its totient is φ = 180352.

The previous prime is 450917. The next prime is 450929. The reversal of 450920 is 29054.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 17956 = 658^2 + 134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 450892 and 450901.

It is not an unprimeable number, because it can be changed into a prime (450929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5597 + ... + 5676.

2450920 is an apocalyptic number.

450920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450920 is an abundant number, since it is smaller than the sum of its proper divisors (563740).

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

450920 is a wasteful number, since it uses less digits than its factorization.

450920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 450920 is about 671.5057706379. The cubic root of 450920 is about 76.6831302597.

Adding to 450920 its reverse (29054), we get a palindrome (479974).

The spelling of 450920 in words is "four hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11273 22546 45092 56365 90184 112730 225460 450920