Search a number
-
+
4282020 = 2232523789
BaseRepresentation
bin10000010101011010100100
322001112211100
4100111122210
52044011040
6231440100
751253011
oct20253244
98045740
104282020
112465166
121526030
13b6c052
147d6708
15598b30
hex4156a4

4282020 has 36 divisors (see below), whose sum is σ = 12989340. Its totient is φ = 1141824.

The previous prime is 4282013. The next prime is 4282021. The reversal of 4282020 is 202824.

It can be written as a sum of positive squares in 2 ways, for example, as 1127844 + 3154176 = 1062^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 4281984 and 4282002.

It is not an unprimeable number, because it can be changed into a prime (4282021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11715 + ... + 12074.

It is an arithmetic number, because the mean of its divisors is an integer number (360815).

Almost surely, 24282020 is an apocalyptic number.

It is an amenable number.

4282020 is an abundant number, since it is smaller than the sum of its proper divisors (8707320).

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

4282020 is a wasteful number, since it uses less digits than its factorization.

4282020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23804 (or 23799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4282020 is about 2069.3042308950. The cubic root of 4282020 is about 162.3863663156.

Adding to 4282020 its reverse (202824), we get a palindrome (4484844).

The spelling of 4282020 in words is "four million, two hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 23789 47578 71367 95156 118945 142734 214101 237890 285468 356835 428202 475780 713670 856404 1070505 1427340 2141010 4282020