Search a number
-
+
1134522642 = 2311171922801
BaseRepresentation
bin100001110011111…
…0111000100010010
32221001210201111010
41003213313010102
54310414211032
6304324431350
740054166121
oct10347670422
92831721433
101134522642
11532454720
12277b48556
1315107a396
14aa967ab8
1569904ccc
hex439f7112

1134522642 has 96 divisors (see below), whose sum is σ = 2767120704. Its totient is φ = 306432000.

The previous prime is 1134522589. The next prime is 1134522643. The reversal of 1134522642 is 2462254311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134522643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403642 + ... + 406442.

It is an arithmetic number, because the mean of its divisors is an integer number (28824174).

Almost surely, 21134522642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134522642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383560352).

1134522642 is an abundant number, since it is smaller than the sum of its proper divisors (1632598062).

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

1134522642 is a wasteful number, since it uses less digits than its factorization.

1134522642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2853 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 1134522642 is about 33682.6756953779. The cubic root of 1134522642 is about 1042.9681732270.

Adding to 1134522642 its reverse (2462254311), we get a palindrome (3596776953).

It can be divided in two parts, 1134 and 522642, that added together give a triangular number (523776 = T1023).

The spelling of 1134522642 in words is "one billion, one hundred thirty-four million, five hundred twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 361 374 418 561 627 646 722 969 1083 1122 1254 1938 2166 2801 3553 3971 5602 6137 7106 7942 8403 10659 11913 12274 16806 18411 21318 23826 30811 36822 47617 53219 61622 67507 92433 95234 106438 135014 142851 159657 184866 202521 285702 319314 405042 523787 585409 904723 1011161 1047574 1170818 1571361 1756227 1809446 2022322 2714169 3033483 3142722 3512454 5428338 6066966 9951953 11122771 17189737 19903906 22245542 29855859 33368313 34379474 51569211 59711718 66736626 103138422 189087107 378174214 567261321 1134522642