Search a number
-
+
4045040 = 24559857
BaseRepresentation
bin1111011011100011110000
321121111202022
433123203300
52013420130
6222411012
746245056
oct17334360
97544668
104045040
11231310a
121430a68
13ab821c
147741d6
1554d7e5
hex3db8f0

4045040 has 40 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 1588736.

The previous prime is 4045009. The next prime is 4045049. The reversal of 4045040 is 405404.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4292 + ... + 5148.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 24045040 is an apocalyptic number.

4045040 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 4045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

4045040 is an abundant number, since it is smaller than the sum of its proper divisors (5530240).

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

4045040 is a wasteful number, since it uses less digits than its factorization.

4045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4045040 is about 2011.2284803075. The cubic root of 4045040 is about 159.3336873568. Note that the first 3 decimals are identical.

The spelling of 4045040 in words is "four million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 857 944 1180 1714 2360 3428 4285 4720 6856 8570 13712 17140 34280 50563 68560 101126 202252 252815 404504 505630 809008 1011260 2022520 4045040