Search a number
-
+
1134000080 = 24514175001
BaseRepresentation
bin100001110010111…
…0111011111010000
32221000211011122222
41003211313133100
54310301000310
6304305320212
740046561453
oct10345673720
92830734588
101134000080
11532128054
12277936068
13150c26585
14aa86d49a
1569850055
hex439777d0

1134000080 has 20 divisors (see below), whose sum is σ = 2636550372. Its totient is φ = 453600000.

The previous prime is 1134000071. The next prime is 1134000083. The reversal of 1134000080 is 800004311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 214212496 + 919787584 = 14636^2 + 30328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134000083) 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 3 ways as a sum of consecutive naturals, for example, 7087421 + ... + 7087580.

Almost surely, 21134000080 is an apocalyptic number.

1134000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134000080 is an abundant number, since it is smaller than the sum of its proper divisors (1502550292).

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

1134000080 is a wasteful number, since it uses less digits than its factorization.

1134000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175014 (or 14175008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1134000080 is about 33674.9176687932. The cubic root of 1134000080 is about 1042.8080179882.

Adding to 1134000080 its reverse (800004311), we get a palindrome (1934004391).

The spelling of 1134000080 in words is "one billion, one hundred thirty-four million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 14175001 28350002 56700004 70875005 113400008 141750010 226800016 283500020 567000040 1134000080