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20812080 = 2435175101
BaseRepresentation
bin100111101100…
…1000100110000
31110011100210210
41033121010300
520311441310
62022024120
7341620422
oct117310460
943140723
1020812080
1110825473
126b78040
134408c53
142a9a812
151c61820
hex13d9130

20812080 has 80 divisors (see below), whose sum is σ = 68325984. Its totient is φ = 5222400.

The previous prime is 20812039. The next prime is 20812091. The reversal of 20812080 is 8021802.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530 + ... + 6630.

Almost surely, 220812080 is an apocalyptic number.

20812080 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 20812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34162992).

20812080 is an abundant number, since it is smaller than the sum of its proper divisors (47513904).

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

20812080 is a wasteful number, since it uses less digits than its factorization.

20812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 20812080 is about 4562.0258657750. The cubic root of 20812080 is about 275.0670029573.

Adding to 20812080 its reverse (8021802), we get a palindrome (28833882).

The spelling of 20812080 in words is "twenty million, eight hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 5101 10202 15303 20404 25505 30606 40808 51010 61212 76515 81616 86717 102020 122424 153030 173434 204040 244848 260151 306060 346868 408080 433585 520302 612120 693736 867170 1040604 1224240 1300755 1387472 1734340 2081208 2601510 3468680 4162416 5203020 6937360 10406040 20812080