Search a number
-
+
1134019068 = 22371321737127
BaseRepresentation
bin100001110010111…
…1100000111111100
32221000212010201020
41003211330013330
54310302102233
6304305544140
740050001020
oct10345740774
92830763636
101134019068
11532140346
12277945050
13150c32100
14aa876380
15698559b3
hex4397c1fc

1134019068 has 288 divisors, whose sum is σ = 3588931584. Its totient is φ = 271724544.

The previous prime is 1134019057. The next prime is 1134019069. The reversal of 1134019068 is 8609104311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134019069) 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 95 ways as a sum of consecutive naturals, for example, 8929221 + ... + 8929347.

It is an arithmetic number, because the mean of its divisors is an integer number (12461568).

Almost surely, 21134019068 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 1134019068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794465792).

1134019068 is an abundant number, since it is smaller than the sum of its proper divisors (2454912516).

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

1134019068 is a wasteful number, since it uses less digits than its factorization.

1134019068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1134019068 is about 33675.1995985176. The cubic root of 1134019068 is about 1042.8138383076.

The spelling of 1134019068 in words is "one billion, one hundred thirty-four million, nineteen thousand, sixty-eight".