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1155000006 = 233192179331
BaseRepresentation
bin100010011010111…
…1110011011000110
32222111100002011000
41010311332123012
54331140000011
6310335354130
740423223646
oct10465763306
92874302130
101155000006
11542a70666
12282982946
13155399b74
14ad578526
156b5ec356
hex44d7e6c6

1155000006 has 96 divisors (see below), whose sum is σ = 2732227200. Its totient is φ = 361603440.

The previous prime is 1155000001. The next prime is 1155000019. The reversal of 1155000006 is 6000005511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155000001) 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 47 ways as a sum of consecutive naturals, for example, 3489261 + ... + 3489591.

It is an arithmetic number, because the mean of its divisors is an integer number (28460700).

Almost surely, 21155000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366113600).

1155000006 is an abundant number, since it is smaller than the sum of its proper divisors (1577227194).

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

1155000006 is a wasteful number, since it uses less digits than its factorization.

1155000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1155000006 is about 33985.2910242063. The cubic root of 1155000006 is about 1049.2057503791.

Adding to 1155000006 its reverse (6000005511), we get a palindrome (7155005517).

The spelling of 1155000006 in words is "one billion, one hundred fifty-five million, six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 179 331 342 358 361 513 537 662 722 993 1026 1074 1083 1611 1986 2166 2979 3222 3249 3401 4833 5958 6289 6498 6802 8937 9666 9747 10203 12578 17874 18867 19494 20406 30609 37734 56601 59249 61218 64619 91827 113202 118498 119491 129238 169803 177747 183654 193857 238982 339606 355494 358473 387714 533241 581571 716946 1066482 1075419 1125731 1163142 1599723 1744713 2150838 2251462 3199446 3226257 3377193 3489426 6452514 6754386 10131579 20263158 21388889 30394737 42777778 60789474 64166667 128333334 192500001 385000002 577500003 1155000006