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2003302020 = 2235291497727
BaseRepresentation
bin111011101100111…
…1111011010000100
312011121120021202010
41313121333122010
513100321131040
6530441414220
7100433533446
oct16731773204
95147507663
102003302020
119388a2505
1247aa9a370
1325c062315
141500b8496
15bad15e80
hex7767f684

2003302020 has 96 divisors (see below), whose sum is σ = 5842368000. Its totient is φ = 512264704.

The previous prime is 2003302019. The next prime is 2003302039. The reversal of 2003302020 is 202033002.

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 = 2003301987 and 2003302005.

It is an unprimeable number.

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, 255397 + ... + 263123.

It is an arithmetic number, because the mean of its divisors is an integer number (60858000).

Almost surely, 22003302020 is an apocalyptic number.

2003302020 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 2003302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921184000).

2003302020 is an abundant number, since it is smaller than the sum of its proper divisors (3839065980).

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

2003302020 is a wasteful number, since it uses less digits than its factorization.

2003302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7915 counting only the distinct ones).

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

The square root of 2003302020 is about 44758.2620306017. The cubic root of 2003302020 is about 1260.6140494025.

Adding to 2003302020 its reverse (202033002), we get a palindrome (2205335022).

The spelling of 2003302020 in words is "two billion, three million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 149 174 290 298 348 435 447 580 596 745 870 894 1490 1740 1788 2235 2980 4321 4470 7727 8642 8940 12963 15454 17284 21605 23181 25926 30908 38635 43210 46362 51852 64815 77270 86420 92724 115905 129630 154540 224083 231810 259260 448166 463620 672249 896332 1120415 1151323 1344498 2240830 2302646 2688996 3361245 3453969 4481660 4605292 5756615 6722490 6907938 11513230 13444980 13815876 17269845 23026460 33388367 34539690 66776734 69079380 100165101 133553468 166941835 200330202 333883670 400660404 500825505 667767340 1001651010 2003302020