Search a number
-
+
1135530500 = 225313971801
BaseRepresentation
bin100001110101110…
…1101001000000100
32221010200221000012
41003223231020010
54311143434000
6304402205352
740065564356
oct10353551004
92833627005
101135530500
11532a82965
12278353858
13151341050
14aab4b0d6
1569a53735
hex43aed204

1135530500 has 96 divisors (see below), whose sum is σ = 2699799648. Its totient is φ = 414720000.

The previous prime is 1135530457. The next prime is 1135530503. The reversal of 1135530500 is 50355311.

It can be written as a sum of positive squares in 16 ways, for example, as 1112355904 + 23174596 = 33352^2 + 4814^2 .

It is not an unprimeable number, because it can be changed into a prime (1135530503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629600 + ... + 631400.

It is an arithmetic number, because the mean of its divisors is an integer number (28122913).

Almost surely, 21135530500 is an apocalyptic number.

1135530500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349899824).

1135530500 is an abundant number, since it is smaller than the sum of its proper divisors (1564269148).

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

1135530500 is a wasteful number, since it uses less digits than its factorization.

1135530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 1135530500 is about 33697.6334480628. The cubic root of 1135530500 is about 1043.2769235517.

Adding to 1135530500 its reverse (50355311), we get a palindrome (1185885811).

The spelling of 1135530500 in words is "one billion, one hundred thirty-five million, five hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 125 130 194 250 260 325 388 485 500 650 970 1261 1300 1625 1801 1940 2425 2522 3250 3602 4850 5044 6305 6500 7204 9005 9700 12125 12610 18010 23413 24250 25220 31525 36020 45025 46826 48500 63050 90050 93652 117065 126100 157625 174697 180100 225125 234130 315250 349394 450250 468260 585325 630500 698788 873485 900500 1170650 1746970 2271061 2341300 2926625 3493940 4367425 4542122 5853250 8734850 9084244 11355305 11706500 17469700 21837125 22710610 43674250 45421220 56776525 87348500 113553050 227106100 283882625 567765250 1135530500