Search a number
-
+
1134041130 = 2325731011709
BaseRepresentation
bin100001110011000…
…0001100000101010
32221000220020222100
41003212001200222
54310303304010
6304310234230
740050122235
oct10346014052
92830806870
101134041130
11532155982
12277955976
13150c3c171
14aa88041c
156985c2c0
hex4398182a

1134041130 has 96 divisors (see below), whose sum is σ = 3020256720. Its totient is φ = 295142400.

The previous prime is 1134041119. The next prime is 1134041131. The reversal of 1134041130 is 311404311.

It can be written as a sum of positive squares in 8 ways, for example, as 665794809 + 468246321 = 25803^2 + 21639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1134041131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662716 + ... + 664424.

Almost surely, 21134041130 is an apocalyptic number.

1134041130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134041130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510128360).

1134041130 is an abundant number, since it is smaller than the sum of its proper divisors (1886215590).

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

1134041130 is a wasteful number, since it uses less digits than its factorization.

1134041130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1134041130 is about 33675.5271673659. The cubic root of 1134041130 is about 1042.8206008070.

Adding to 1134041130 its reverse (311404311), we get a palindrome (1445445441).

The spelling of 1134041130 in words is "one billion, one hundred thirty-four million, forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 101 146 202 219 303 365 438 505 606 657 730 909 1010 1095 1314 1515 1709 1818 2190 3030 3285 3418 4545 5127 6570 7373 8545 9090 10254 14746 15381 17090 22119 25635 30762 36865 44238 51270 66357 73730 76905 110595 124757 132714 153810 172609 221190 249514 331785 345218 374271 517827 623785 663570 748542 863045 1035654 1122813 1247570 1553481 1726090 1871355 2245626 2589135 3106962 3742710 5178270 5614065 7767405 11228130 12600457 15534810 25200914 37801371 63002285 75602742 113404113 126004570 189006855 226808226 378013710 567020565 1134041130