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2809001020 = 2257412292137
BaseRepresentation
bin1010011101101101…
…1111010000111100
321020202122000222211
42213123133100330
521223101013040
61142422350204
7126416054230
oct24733372074
97222560884
102809001020
111211676051
1266488b364
13359c5c1a7
141c90c85c0
151169168ea
hexa76df43c

2809001020 has 96 divisors (see below), whose sum is σ = 6939434880. Its totient is φ = 935055360.

The previous prime is 2809001003. The next prime is 2809001029. The reversal of 2809001020 is 201009082.

It is a super-2 number, since 2×28090010202 = 15780973460722080800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2809000982 and 2809001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313392 + ... + 1315528.

It is an arithmetic number, because the mean of its divisors is an integer number (72285780).

Almost surely, 22809001020 is an apocalyptic number.

2809001020 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 2809001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469717440).

2809001020 is an abundant number, since it is smaller than the sum of its proper divisors (4130433860).

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

2809001020 is a wasteful number, since it uses less digits than its factorization.

2809001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2809001020 is about 53000.0096226406. The cubic root of 2809001020 is about 1410.9684375193.

The spelling of 2809001020 in words is "two billion, eight hundred nine million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 229 287 410 458 574 820 916 1145 1148 1435 1603 2137 2290 2870 3206 4274 4580 5740 6412 8015 8548 9389 10685 14959 16030 18778 21370 29918 32060 37556 42740 46945 59836 65723 74795 87617 93890 131446 149590 175234 187780 262892 299180 328615 350468 438085 489373 613319 657230 876170 978746 1226638 1314460 1752340 1957492 2446865 2453276 3066595 3425611 4893730 6133190 6851222 9787460 12266380 13702444 17128055 20064293 34256110 40128586 68512220 80257172 100321465 140450051 200642930 280900102 401285860 561800204 702250255 1404500510 2809001020