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427220 = 22541521
BaseRepresentation
bin1101000010011010100
3210201000222
41220103110
5102132340
613053512
73426353
oct1502324
9721028
10427220
11271a82
12187298
1311c5c1
14b199a
15868b5
hex684d4

427220 has 24 divisors (see below), whose sum is σ = 920808. Its totient is φ = 166400.

The previous prime is 427213. The next prime is 427237. The reversal of 427220 is 22724.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 425104 = 46^2 + 652^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2427220 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 427220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460404).

427220 is an abundant number, since it is smaller than the sum of its proper divisors (493588).

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

427220 is a wasteful number, since it uses less digits than its factorization.

427220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 427220 is about 653.6206851072. The cubic root of 427220 is about 75.3154124147.

Adding to 427220 its reverse (22724), we get a palindrome (449944).

Subtracting from 427220 its reverse (22724), we obtain a square (404496 = 6362).

The spelling of 427220 in words is "four hundred twenty-seven thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 41 82 164 205 410 521 820 1042 2084 2605 5210 10420 21361 42722 85444 106805 213610 427220