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20860020 = 22325172401
BaseRepresentation
bin100111110010…
…0110001110100
31110020210120100
41033210301310
520320010040
62023034100
7342210246
oct117446164
943223510
1020860020
1110858495
126b9b930
134424a0c
142ab0096
151c70b30
hex13e4c74

20860020 has 108 divisors (see below), whose sum is σ = 67384044. Its totient is φ = 5222400.

The previous prime is 20860001. The next prime is 20860027. The reversal of 20860020 is 2006802.

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 14837904 = 2454^2 + 3852^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20859975 and 20860002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20860027) 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 35 ways as a sum of consecutive naturals, for example, 51820 + ... + 52220.

Almost surely, 220860020 is an apocalyptic number.

20860020 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 20860020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33692022).

20860020 is an abundant number, since it is smaller than the sum of its proper divisors (46524024).

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

20860020 is a wasteful number, since it uses less digits than its factorization.

20860020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20860020 is about 4567.2770881566. The cubic root of 20860020 is about 275.2780438527.

Adding to 20860020 its reverse (2006802), we get a palindrome (22866822).

The spelling of 20860020 in words is "twenty million, eight hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 401 510 578 612 765 802 867 1020 1156 1203 1445 1530 1604 1734 2005 2406 2601 2890 3060 3468 3609 4010 4335 4812 5202 5780 6015 6817 7218 8020 8670 10404 12030 13005 13634 14436 17340 18045 20451 24060 26010 27268 34085 36090 40902 52020 61353 68170 72180 81804 102255 115889 122706 136340 204510 231778 245412 306765 347667 409020 463556 579445 613530 695334 1043001 1158890 1227060 1390668 1738335 2086002 2317780 3476670 4172004 5215005 6953340 10430010 20860020