Search a number
-
+
1164504042 = 232136537621
BaseRepresentation
bin100010101101000…
…1110101111101010
310000011012221020100
41011122032233222
54341103112132
6311315210230
740600056342
oct10532165752
93004187210
101164504042
11548372139
12285ba6976
13157346a60
14b092dd22
156c37837c
hex4568ebea

1164504042 has 48 divisors (see below), whose sum is σ = 2721694248. Its totient is φ = 357713280.

The previous prime is 1164504041. The next prime is 1164504049. The reversal of 1164504042 is 2404054611.

1164504042 is a `hidden beast` number, since 11 + 645 + 0 + 4 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 887980401 + 276523641 = 29799^2 + 16629^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1164503997 and 1164504015.

It is not an unprimeable number, because it can be changed into a prime (1164504041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148992 + ... + 156612.

Almost surely, 21164504042 is an apocalyptic number.

1164504042 is an abundant number, since it is smaller than the sum of its proper divisors (1557190206).

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

1164504042 is a wasteful number, since it uses less digits than its factorization.

1164504042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1164504042 is about 34124.8302852923. The cubic root of 1164504042 is about 1052.0757251268.

Adding to 1164504042 its reverse (2404054611), we get a palindrome (3568558653).

The spelling of 1164504042 in words is "one billion, one hundred sixty-four million, five hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 653 1306 1959 3918 5877 7621 8489 11754 15242 16978 22863 25467 45726 50934 68589 76401 99073 137178 152802 198146 297219 594438 891657 1783314 4976513 9953026 14929539 29859078 44788617 64694669 89577234 129389338 194084007 388168014 582252021 1164504042