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20413305 = 32511223163
BaseRepresentation
bin100110111011…
…1101101111001
31102102002210100
41031313231321
520211211210
62005310013
7335340003
oct115675571
942362710
1020413305
1110582900
126a05309
1342c95a3
1429d5373
151bd35c0
hex1377b79

20413305 has 72 divisors (see below), whose sum is σ = 40832064. Its totient is φ = 9408960.

The previous prime is 20413291. The next prime is 20413331. The reversal of 20413305 is 50331402.

It is not a de Polignac number, because 20413305 - 25 = 20413273 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 125154 + ... + 125316.

It is an arithmetic number, because the mean of its divisors is an integer number (567112).

Almost surely, 220413305 is an apocalyptic number.

It is an amenable number.

20413305 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

20413305 is a wasteful number, since it uses less digits than its factorization.

20413305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20413305 is about 4518.1085644327. The cubic root of 20413305 is about 273.2988314902.

Adding to 20413305 its reverse (50331402), we get a palindrome (70744707).

The spelling of 20413305 in words is "twenty million, four hundred thirteen thousand, three hundred five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 121 163 165 207 253 345 363 489 495 605 759 815 1035 1089 1265 1467 1793 1815 2277 2445 2783 3749 3795 5379 5445 7335 8349 8965 11247 11385 13915 16137 18745 19723 25047 26895 33741 41239 41745 56235 59169 80685 98615 123717 125235 168705 177507 206195 295845 371151 453629 618585 887535 1360887 1855755 2268145 4082661 6804435 20413305