Search a number
-
+
4202320 = 24552529
BaseRepresentation
bin10000000001111101010000
321220111111111
4100001331100
52033433240
6230023104
750501443
oct20017520
97814444
104202320
1124102a1
1214a7a94
13b419a5
147b565a
155801ea
hex401f50

4202320 has 20 divisors (see below), whose sum is σ = 9770580. Its totient is φ = 1680896.

The previous prime is 4202311. The next prime is 4202321. The reversal of 4202320 is 232024.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 3549456 = 808^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4202320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202321) 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, 26185 + ... + 26344.

It is an arithmetic number, because the mean of its divisors is an integer number (488529).

Almost surely, 24202320 is an apocalyptic number.

4202320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202320 is an abundant number, since it is smaller than the sum of its proper divisors (5568260).

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

4202320 is a wasteful number, since it uses less digits than its factorization.

4202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52542 (or 52536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4202320 is about 2049.9560970909. The cubic root of 4202320 is about 161.3725667092.

Adding to 4202320 its reverse (232024), we get a palindrome (4434344).

The spelling of 4202320 in words is "four million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 52529 105058 210116 262645 420232 525290 840464 1050580 2101160 4202320