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20200413660 = 2235728977201
BaseRepresentation
bin10010110100000010…
…011101100111011100
31221010210122100002220
4102310002131213130
5312332301214120
613140244545340
71313404453200
oct226402354734
957123570086
1020200413660
118626674849
123ab90b2250
131b9c0782bb
14d98b74b00
157d3657b40
hex4b409d9dc

20200413660 has 144 divisors (see below), whose sum is σ = 66535771680. Its totient is φ = 4565299200.

The previous prime is 20200413643. The next prime is 20200413671. The reversal of 20200413660 is 6631400202.

It is a super-2 number, since 2×202004136602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20200413660.

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 47 ways as a sum of consecutive naturals, for example, 223060 + ... + 300260.

It is an arithmetic number, because the mean of its divisors is an integer number (462053970).

Almost surely, 220200413660 is an apocalyptic number.

20200413660 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 20200413660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33267885840).

20200413660 is an abundant number, since it is smaller than the sum of its proper divisors (46335358020).

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

20200413660 is a wasteful number, since it uses less digits than its factorization.

20200413660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77316 (or 77307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20200413660 its reverse (6631400202), we get a palindrome (26831813862).

The spelling of 20200413660 in words is "twenty billion, two hundred million, four hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 89 98 105 140 147 178 196 210 245 267 294 356 420 445 490 534 588 623 735 890 980 1068 1246 1335 1470 1780 1869 2492 2670 2940 3115 3738 4361 5340 6230 7476 8722 9345 12460 13083 17444 18690 21805 26166 37380 43610 52332 65415 77201 87220 130830 154402 231603 261660 308804 386005 463206 540407 772010 926412 1080814 1158015 1544020 1621221 2161628 2316030 2702035 3242442 3782849 4632060 5404070 6484884 6870889 7565698 8106105 10808140 11348547 13741778 15131396 16212210 18914245 20612667 22697094 27483556 32424420 34354445 37828490 41225334 45394188 48096223 56742735 68708890 75656980 82450668 96192446 103063335 113485470 137417780 144288669 192384892 206126670 226970940 240481115 288577338 336673561 412253340 480962230 577154676 673347122 721443345 961924460 1010020683 1346694244 1442886690 1683367805 2020041366 2885773380 3366735610 4040082732 5050103415 6733471220 10100206830 20200413660