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3020003220 = 22351319332003
BaseRepresentation
bin1011010000000001…
…1001011110010100
321210110200001121010
42310000121132110
522141110100340
61215401052220
7134560414053
oct26400313624
97713601533
103020003220
11130a793133
12703487070
13391899270
1420913239a
1512a1e5b80
hexb4019794

3020003220 has 96 divisors (see below), whose sum is σ = 9115731072. Its totient is φ = 742629888.

The previous prime is 3020003179. The next prime is 3020003227. The reversal of 3020003220 is 223000203.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3020003196 and 3020003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020003227) 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 31 ways as a sum of consecutive naturals, for example, 1506739 + ... + 1508741.

It is an arithmetic number, because the mean of its divisors is an integer number (94955532).

Almost surely, 23020003220 is an apocalyptic number.

3020003220 is a gapful number since it is divisible by the number (30) 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 3020003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557865536).

3020003220 is an abundant number, since it is smaller than the sum of its proper divisors (6095727852).

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

3020003220 is a wasteful number, since it uses less digits than its factorization.

3020003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3020003220 is about 54954.5559530782. Note that the first 3 decimals coincide. The cubic root of 3020003220 is about 1445.4479871183.

Adding to 3020003220 its reverse (223000203), we get a palindrome (3243003423).

The spelling of 3020003220 in words is "three billion, twenty million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1933 2003 3866 4006 5799 6009 7732 8012 9665 10015 11598 12018 19330 20030 23196 24036 25129 26039 28995 30045 38660 40060 50258 52078 57990 60090 75387 78117 100516 104156 115980 120180 125645 130195 150774 156234 251290 260390 301548 312468 376935 390585 502580 520780 753870 781170 1507740 1562340 3871799 7743598 11615397 15487196 19358995 23230794 38717990 46461588 50333387 58076985 77435980 100666774 116153970 151000161 201333548 232307940 251666935 302000322 503333870 604000644 755000805 1006667740 1510001610 3020003220