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20104560 = 2432573989
BaseRepresentation
bin100110010110…
…0010101110000
31101211102021100
41030230111300
520121321220
61554524400
7332612610
oct114542560
941742240
1020104560
1110391943
126896700
13421bbb8
142954a40
151b71d90
hex132c570

20104560 has 120 divisors (see below), whose sum is σ = 77182560. Its totient is φ = 4594176.

The previous prime is 20104559. The next prime is 20104571. The reversal of 20104560 is 6540102.

It is a happy number.

20104560 is a `hidden beast` number, since 2 + 0 + 104 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3046 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 220104560 is an apocalyptic number.

20104560 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 20104560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

20104560 is an abundant number, since it is smaller than the sum of its proper divisors (57078000).

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

20104560 is a wasteful number, since it uses less digits than its factorization.

20104560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20104560 is about 4483.8108791518. The cubic root of 20104560 is about 271.9139722174.

Adding to 20104560 its reverse (6540102), we get a palindrome (26644662).

The spelling of 20104560 in words is "twenty million, one hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 3989 5040 7978 11967 15956 19945 23934 27923 31912 35901 39890 47868 55846 59835 63824 71802 79780 83769 95736 111692 119670 139615 143604 159560 167538 179505 191472 223384 239340 251307 279230 287208 319120 335076 359010 418845 446768 478680 502614 558460 574416 670152 718020 837690 957360 1005228 1116920 1256535 1340304 1436040 1675380 2010456 2233840 2513070 2872080 3350760 4020912 5026140 6701520 10052280 20104560