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20479305 = 35721117149
BaseRepresentation
bin100111000011…
…1110101001001
31102112110022210
41032013311021
520220314210
62010535333
7336033300
oct116076511
942473283
1020479305
1110618450
126a37549
134320642
142a11437
151be7e20
hex1387d49

20479305 has 96 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 7956480.

The previous prime is 20479297. The next prime is 20479331. The reversal of 20479305 is 50397402.

It is not a de Polignac number, because 20479305 - 23 = 20479297 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 137371 + ... + 137519.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 220479305 is an apocalyptic number.

It is an amenable number.

20479305 is an abundant number, since it is smaller than the sum of its proper divisors (23843895).

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

20479305 is a wasteful number, since it uses less digits than its factorization.

20479305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 20479305 is about 4525.4066115654. The cubic root of 20479305 is about 273.5930565549.

The spelling of 20479305 in words is "twenty million, four hundred seventy-nine thousand, three hundred five".

Divisors: 1 3 5 7 11 15 17 21 33 35 49 51 55 77 85 105 119 147 149 165 187 231 245 255 357 385 447 539 561 595 735 745 833 935 1043 1155 1309 1617 1639 1785 2235 2499 2533 2695 2805 3129 3927 4165 4917 5215 6545 7301 7599 8085 8195 9163 11473 12495 12665 15645 17731 19635 21903 24585 27489 27863 34419 36505 37995 45815 53193 57365 80311 83589 88655 109515 124117 137445 139315 172095 195041 240933 265965 372351 401555 417945 585123 620585 975205 1204665 1365287 1861755 2925615 4095861 6826435 20479305