Search a number
-
+
6442240 = 2857719
BaseRepresentation
bin11000100100110100000000
3110010022002111
4120210310000
53122122430
6350025104
7105521020
oct30446400
913108074
106442240
113700172
1221a8194
13144739c
14bd9a80
15873c2a
hex624d00

6442240 has 72 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 2205696.

The previous prime is 6442237. The next prime is 6442259. The reversal of 6442240 is 422446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8601 + ... + 9319.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 26442240 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 6442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

6442240 is an abundant number, since it is smaller than the sum of its proper divisors (11217920).

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

6442240 is an equidigital number, since it uses as much as digits as its factorization.

6442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 6442240 is about 2538.1568115465. The cubic root of 6442240 is about 186.0711178308.

Adding to 6442240 its reverse (422446), we get a palindrome (6864686).

The spelling of 6442240 in words is "six million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 719 896 1120 1280 1438 1792 2240 2876 3595 4480 5033 5752 7190 8960 10066 11504 14380 20132 23008 25165 28760 40264 46016 50330 57520 80528 92032 100660 115040 161056 184064 201320 230080 322112 402640 460160 644224 805280 920320 1288448 1610560 3221120 6442240