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20303856 = 24321941181
BaseRepresentation
bin100110101110…
…0111111110000
31102012112122200
41031130333300
520144210411
62003103200
7334402626
oct115347760
942175580
1020303856
1110508651
126971b00
13428b821
1429a7516
151bb0e56
hex135cff0

20303856 has 120 divisors (see below), whose sum is σ = 61610640. Its totient is φ = 6220800.

The previous prime is 20303809. The next prime is 20303887. The reversal of 20303856 is 65830302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112086 + ... + 112266.

It is an arithmetic number, because the mean of its divisors is an integer number (513422).

Almost surely, 220303856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20303856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30805320).

20303856 is an abundant number, since it is smaller than the sum of its proper divisors (41306784).

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

20303856 is a wasteful number, since it uses less digits than its factorization.

20303856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20303856 is about 4505.9800265869. The cubic root of 20303856 is about 272.8095116838.

It can be divided in two parts, 2030 and 3856, that added together give a triangular number (5886 = T108).

The spelling of 20303856 in words is "twenty million, three hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 181 228 246 304 328 342 362 369 456 492 543 656 684 724 738 779 912 984 1086 1368 1448 1476 1558 1629 1968 2172 2337 2736 2896 2952 3116 3258 3439 4344 4674 5904 6232 6516 6878 7011 7421 8688 9348 10317 12464 13032 13756 14022 14842 18696 20634 22263 26064 27512 28044 29684 30951 37392 41268 44526 55024 56088 59368 61902 66789 82536 89052 112176 118736 123804 133578 140999 165072 178104 247608 267156 281998 356208 422997 495216 534312 563996 845994 1068624 1127992 1268991 1691988 2255984 2537982 3383976 5075964 6767952 10151928 20303856