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2989081000 = 235319715173
BaseRepresentation
bin1011001000101001…
…1100000110101000
321201022111001021201
42302022130012220
522110201043000
61212334213544
7134033524603
oct26212340650
97638431251
102989081000
1112a4292884
126b50542b4
133883605a9
14204da333a
1512763896a
hexb229c1a8

2989081000 has 64 divisors (see below), whose sum is σ = 7030417680. Its totient is φ = 1189484800.

The previous prime is 2989080979. The next prime is 2989081003. The reversal of 2989081000 is 1809892.

It can be written as a sum of positive squares in 8 ways, for example, as 1405200196 + 1583880804 = 37486^2 + 39798^2 .

It is a super-2 number, since 2×29890810002 = 17869210449122000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2989081003) 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 15 ways as a sum of consecutive naturals, for example, 189414 + ... + 204586.

Almost surely, 22989081000 is an apocalyptic number.

2989081000 is a gapful number since it is divisible by the number (20) 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 2989081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515208840).

2989081000 is an abundant number, since it is smaller than the sum of its proper divisors (4041336680).

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

2989081000 is a wasteful number, since it uses less digits than its factorization.

2989081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15391 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 2989081000 is about 54672.4885111333. The cubic root of 2989081000 is about 1440.4976739169.

The spelling of 2989081000 in words is "two billion, nine hundred eighty-nine million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 788 985 1000 1576 1970 3940 4925 7880 9850 15173 19700 24625 30346 39400 49250 60692 75865 98500 121384 151730 197000 303460 379325 606920 758650 1517300 1896625 2989081 3034600 3793250 5978162 7586500 11956324 14945405 15173000 23912648 29890810 59781620 74727025 119563240 149454050 298908100 373635125 597816200 747270250 1494540500 2989081000