Search a number
-
+
422720 = 2651321
BaseRepresentation
bin1100111001101000000
3210110212022
41213031000
5102011340
613021012
73410264
oct1471500
9713768
10422720
11269661
12184768
1311a53c
14b00a4
15853b5
hex67340

422720 has 28 divisors (see below), whose sum is σ = 1007364. Its totient is φ = 168960.

The previous prime is 422711. The next prime is 422749. The reversal of 422720 is 27224.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 135424 = 536^2 + 368^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422720.

It is an unprimeable number.

422720 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 3 ways as a sum of consecutive naturals, for example, 341 + ... + 980.

2422720 is an apocalyptic number.

422720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422720 is an abundant number, since it is smaller than the sum of its proper divisors (584644).

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

422720 is a wasteful number, since it uses less digits than its factorization.

422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1328 counting only the distinct ones).

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

The square root of 422720 is about 650.1692087449. The cubic root of 422720 is about 75.0500406791.

Adding to 422720 its reverse (27224), we get a palindrome (449944).

The spelling of 422720 in words is "four hundred twenty-two thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1321 2642 5284 6605 10568 13210 21136 26420 42272 52840 84544 105680 211360 422720