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20428406320 = 24571719112939
BaseRepresentation
bin10011000001101000…
…001011111000110000
31221201200122120020111
4103001220023320300
5313314133000240
613215031351104
71322143405630
oct230150137060
957650576214
1020428406320
118733337033
123b61522494
131c073839ba
14dbb1626c0
157e86911ea
hex4c1a0be30

20428406320 has 160 divisors (see below), whose sum is σ = 60499699200. Its totient is φ = 6245019648.

The previous prime is 20428406281. The next prime is 20428406347. The reversal of 20428406320 is 2360482402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124411 + ... + 237349.

It is an arithmetic number, because the mean of its divisors is an integer number (378123120).

Almost surely, 220428406320 is an apocalyptic number.

20428406320 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 20428406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249849600).

20428406320 is an abundant number, since it is smaller than the sum of its proper divisors (40071292880).

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

20428406320 is a wasteful number, since it uses less digits than its factorization.

20428406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112995 (or 112989 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 20428406320 its reverse (2360482402), we get a palindrome (22788888722).

The spelling of 20428406320 in words is "twenty billion, four hundred twenty-eight million, four hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 68 70 76 80 85 95 112 119 133 136 140 152 170 190 238 266 272 280 304 323 340 380 476 532 560 595 646 665 680 760 952 1064 1190 1292 1330 1360 1520 1615 1904 2128 2261 2380 2584 2660 3230 4522 4760 5168 5320 6460 9044 9520 10640 11305 12920 18088 22610 25840 36176 45220 90440 112939 180880 225878 451756 564695 790573 903512 1129390 1581146 1807024 1919963 2145841 2258780 3162292 3839926 3952865 4291682 4517560 6324584 7679852 7905730 8583364 9035120 9599815 10729205 12649168 13439741 15020887 15359704 15811460 17166728 19199630 21458410 26879482 30041774 30719408 31622920 34333456 36479297 38399260 42916820 53758964 60083548 63245840 67198705 72958594 75104435 76798520 85833640 107517928 120167096 134397410 145917188 150208870 153597040 171667280 182396485 215035856 240334192 255355079 268794820 291834376 300417740 364792970 510710158 537589640 583668752 600835480 729585940 1021420316 1075179280 1201670960 1276775395 1459171880 2042840632 2553550790 2918343760 4085681264 5107101580 10214203160 20428406320