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20305080 = 233552089
BaseRepresentation
bin100110101110…
…1010010111000
31102012121100000
41031131102320
520144230310
62003113000
7334406325
oct115352270
942177300
1020305080
1110509564
126972760
13428c253
1429a7b4c
151bb14c0
hex135d4b8

20305080 has 96 divisors (see below), whose sum is σ = 68468400. Its totient is φ = 5412096.

The previous prime is 20305079. The next prime is 20305097. The reversal of 20305080 is 8050302.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8676 + ... + 10764.

Almost surely, 220305080 is an apocalyptic number.

20305080 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 20305080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34234200).

20305080 is an abundant number, since it is smaller than the sum of its proper divisors (48163320).

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

20305080 is a wasteful number, since it uses less digits than its factorization.

20305080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2099 counting only the distinct ones).

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

The square root of 20305080 is about 4506.1158440502. The cubic root of 20305080 is about 272.8149936003.

Adding to 20305080 its reverse (8050302), we get a palindrome (28355382).

The spelling of 20305080 in words is "twenty million, three hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2089 2430 3240 4178 4860 6267 8356 9720 10445 12534 16712 18801 20890 25068 31335 37602 41780 50136 56403 62670 75204 83560 94005 112806 125340 150408 169209 188010 225612 250680 282015 338418 376020 451224 507627 564030 676836 752040 846045 1015254 1128060 1353672 1692090 2030508 2256120 2538135 3384180 4061016 5076270 6768360 10152540 20305080