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285276420 = 22325111311083
BaseRepresentation
bin10001000000001…
…111100100000100
3201212210112200100
4101000033210010
51041012321140
644150244100
710032544452
oct2100174404
9655715610
10285276420
11137038440
127b656630
1347144220
1429c5d9d2
151a0a1530
hex1100f904

285276420 has 144 divisors (see below), whose sum is σ = 1016713152. Its totient is φ = 63832320.

The previous prime is 285276403. The next prime is 285276427. The reversal of 285276420 is 24672582.

285276420 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 7 + 642 + 0 = 666.

285276420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285276427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20199 + ... + 31281.

It is an arithmetic number, because the mean of its divisors is an integer number (7060508).

Almost surely, 2285276420 is an apocalyptic number.

285276420 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 285276420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508356576).

285276420 is an abundant number, since it is smaller than the sum of its proper divisors (731436732).

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

285276420 is a wasteful number, since it uses less digits than its factorization.

285276420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 285276420 is about 16890.1278858391. The cubic root of 285276420 is about 658.2971253208.

The spelling of 285276420 in words is "two hundred eighty-five million, two hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 11083 12870 22166 25740 33249 44332 55415 66498 99747 110830 121913 132996 144079 166245 199494 221660 243826 288158 332490 365739 398988 432237 487652 498735 576316 609565 664980 720395 731478 864474 997470 1097217 1219130 1296711 1440790 1462956 1584869 1728948 1828695 1994940 2161185 2194434 2438260 2593422 2881580 3169738 3657390 4322370 4388868 4754607 5186844 5486085 6339476 6483555 7314780 7924345 8644740 9509214 10972170 12967110 14263821 15848690 19018428 21944340 23773035 25934220 28527642 31697380 47546070 57055284 71319105 95092140 142638210 285276420