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9030000080 = 245532418837
BaseRepresentation
bin10000110100011101…
…01101110111010000
3212022022112112101102
420122032231313100
5121443140000310
64052012123532
7436525506563
oct103216556720
925268475342
109030000080
113914221792
1219001665a8
13b0ba5531a
146193c44da
1537cb558a5
hex21a3addd0

9030000080 has 80 divisors (see below), whose sum is σ = 21482067024. Its totient is φ = 3528744960.

The previous prime is 9030000079. The next prime is 9030000113. The reversal of 9030000080 is 800000309.

9030000080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2528480656 + 6501519424 = 50284^2 + 80632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1017422 + ... + 1026258.

Almost surely, 29030000080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9030000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741033512).

9030000080 is an abundant number, since it is smaller than the sum of its proper divisors (12452066944).

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

9030000080 is a wasteful number, since it uses less digits than its factorization.

9030000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 9030000080 is about 95026.3125665728. The cubic root of 9030000080 is about 2082.3924701896.

Adding to 9030000080 its reverse (800000309), we get a palindrome (9830000389).

The spelling of 9030000080 in words is "nine billion, thirty million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 241 265 424 482 530 848 964 1060 1205 1928 2120 2410 3856 4240 4820 8837 9640 12773 17674 19280 25546 35348 44185 51092 63865 70696 88370 102184 127730 141392 176740 204368 255460 353480 468361 510920 706960 936722 1021840 1873444 2129717 2341805 3746888 4259434 4683610 7493776 8518868 9367220 10648585 17037736 18734440 21297170 34075472 37468880 42594340 85188680 112875001 170377360 225750002 451500004 564375005 903000008 1128750010 1806000016 2257500020 4515000040 9030000080