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285205140 = 2232511294967
BaseRepresentation
bin10000111111111…
…110001010010100
3201212122220220100
4100333332022110
51041003031030
644144534100
710032126603
oct2077761224
9655586810
10285205140
11136a99930
127b621330
134711a94c
1429c41a3a
151a08a360
hex10ffe294

285205140 has 144 divisors (see below), whose sum is σ = 976510080. Its totient is φ = 66743040.

The previous prime is 285205133. The next prime is 285205159. The reversal of 285205140 is 41502582.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54937 + ... + 59903.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2285205140 is an apocalyptic number.

285205140 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 285205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488255040).

285205140 is an abundant number, since it is smaller than the sum of its proper divisors (691304940).

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

285205140 is a wasteful number, since it uses less digits than its factorization.

285205140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 285205140 is about 16888.0176456563. The cubic root of 285205140 is about 658.2422927392.

The spelling of 285205140 in words is "two hundred eighty-five million, two hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 4967 5220 5742 6380 9570 9934 11484 14355 14901 19140 19868 24835 28710 29802 44703 49670 54637 57420 59604 74505 89406 99340 109274 144043 149010 163911 178812 218548 223515 273185 288086 298020 327822 432129 447030 491733 546370 576172 655644 720215 819555 864258 894060 983466 1092740 1296387 1440430 1584473 1639110 1728516 1966932 2160645 2458665 2592774 2880860 3168946 3278220 4321290 4753419 4917330 5185548 6337892 6481935 7922365 8642580 9506838 9834660 12963870 14260257 15844730 19013676 23767095 25927740 28520514 31689460 47534190 57041028 71301285 95068380 142602570 285205140