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422120 = 23561173
BaseRepresentation
bin1100111000011101000
3210110001002
41213003220
5102001440
613014132
73405446
oct1470350
9713032
10422120
11269166
12184348
1311a19a
14adb96
1585115
hex670e8

422120 has 32 divisors (see below), whose sum is σ = 970920. Its totient is φ = 165120.

The previous prime is 422113. The next prime is 422129. The reversal of 422120 is 21224.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 106276 = 562^2 + 326^2 .

It is not an unprimeable number, because it can be changed into a prime (422129) by changing a digit.

422120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2354 + ... + 2526.

2422120 is an apocalyptic number.

422120 is a gapful number since it is divisible by the number (40) 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 422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485460).

422120 is an abundant number, since it is smaller than the sum of its proper divisors (548800).

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

422120 is a wasteful number, since it uses less digits than its factorization.

422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 422120 is about 649.7076265521. The cubic root of 422120 is about 75.0145157089.

Adding to 422120 its reverse (21224), we get a palindrome (443344).

The spelling of 422120 in words is "four hundred twenty-two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 40 61 122 173 244 305 346 488 610 692 865 1220 1384 1730 2440 3460 6920 10553 21106 42212 52765 84424 105530 211060 422120