Search a number
-
+
9030699936 = 253327138569
BaseRepresentation
bin10000110100100010…
…11000101110100000
3212022100212002102000
420122101120232200
5121443324344221
64052035124000
7436534453146
oct103221305640
925270762360
109030699936
11391465a585
121900443600
13b0bc3ba3b
14619527596
1537cc42e26
hex21a458ba0

9030699936 has 96 divisors (see below), whose sum is σ = 26437420800. Its totient is φ = 2999047680.

The previous prime is 9030699917. The next prime is 9030699941. The reversal of 9030699936 is 6399960309.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 214860 + ... + 253428.

It is an arithmetic number, because the mean of its divisors is an integer number (275389800).

Almost surely, 29030699936 is an apocalyptic number.

9030699936 is a gapful number since it is divisible by the number (96) 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 9030699936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218710400).

9030699936 is an abundant number, since it is smaller than the sum of its proper divisors (17406720864).

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

9030699936 is a wasteful number, since it uses less digits than its factorization.

9030699936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38859 (or 38845 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 9030699936 is about 95029.9949279174. The cubic root of 9030699936 is about 2082.4462663211.

The spelling of 9030699936 in words is "nine billion, thirty million, six hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 271 288 432 542 813 864 1084 1626 2168 2439 3252 4336 4878 6504 7317 8672 9756 13008 14634 19512 26016 29268 38569 39024 58536 77138 78048 115707 117072 154276 231414 234144 308552 347121 462828 617104 694242 925656 1041363 1234208 1388484 1851312 2082726 2776968 3702624 4165452 5553936 8330904 10452199 11107872 16661808 20904398 31356597 33323616 41808796 62713194 83617592 94069791 125426388 167235184 188139582 250852776 282209373 334470368 376279164 501705552 564418746 752558328 1003411104 1128837492 1505116656 2257674984 3010233312 4515349968 9030699936