Search a number
-
+
8004040 = 2351118191
BaseRepresentation
bin11110100010000111001000
3120001122110221
4132202013020
54022112130
6443315424
7125014252
oct36420710
916048427
108004040
114577610
12281bb74
131873225
1410c4cd2
15a8187a
hex7a21c8

8004040 has 32 divisors (see below), whose sum is σ = 19647360. Its totient is φ = 2910400.

The previous prime is 8004013. The next prime is 8004047. The reversal of 8004040 is 404008.

8004040 is a modest number, since divided by 4040 gives 800 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8004047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8656 + ... + 9535.

It is an arithmetic number, because the mean of its divisors is an integer number (613980).

Almost surely, 28004040 is an apocalyptic number.

It is an amenable number.

8004040 is an abundant number, since it is smaller than the sum of its proper divisors (11643320).

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

8004040 is a wasteful number, since it uses less digits than its factorization.

8004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18213 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8004040 is about 2829.1412124530. The cubic root of 8004040 is about 200.0336610010.

Adding to 8004040 its reverse (404008), we get a palindrome (8408048).

The spelling of 8004040 in words is "eight million, four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 18191 36382 72764 90955 145528 181910 200101 363820 400202 727640 800404 1000505 1600808 2001010 4002020 8004040