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285317136 = 243213173881
BaseRepresentation
bin10001000000011…
…001100000010000
3201212212121112100
4101000121200100
51041020122021
644151200400
710033104246
oct2100314020
9655777470
10285317136
11137065a95
127b676100
1347159910
1429c70796
151a0ad626
hex11019810

285317136 has 120 divisors (see below), whose sum is σ = 865866456. Its totient is φ = 87183360.

The previous prime is 285317113. The next prime is 285317141. The reversal of 285317136 is 631713582.

285317136 is a `hidden beast` number, since 28 + 531 + 71 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18974736 + 266342400 = 4356^2 + 16320^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 285317136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323416 + ... + 324296.

Almost surely, 2285317136 is an apocalyptic number.

285317136 is a gapful number since it is divisible by the number (26) 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 285317136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432933228).

285317136 is an abundant number, since it is smaller than the sum of its proper divisors (580549320).

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

285317136 is a wasteful number, since it uses less digits than its factorization.

285317136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 285317136 is about 16891.3331623055. Note that the first 3 decimals coincide. The cubic root of 285317136 is about 658.3284422575.

The spelling of 285317136 in words is "two hundred eighty-five million, three hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 173 208 234 312 346 468 519 624 692 881 936 1038 1384 1557 1762 1872 2076 2249 2643 2768 3114 3524 4152 4498 5286 6228 6747 7048 7929 8304 8996 10572 11453 12456 13494 14096 15858 17992 20241 21144 22906 24912 26988 31716 34359 35984 40482 42288 45812 53976 63432 68718 80964 91624 103077 107952 126864 137436 152413 161928 183248 206154 274872 304826 323856 412308 457239 549744 609652 824616 914478 1219304 1371717 1649232 1828956 1981369 2438608 2743434 3657912 3962738 5486868 5944107 7315824 7925476 10973736 11888214 15850952 17832321 21947472 23776428 31701904 35664642 47552856 71329284 95105712 142658568 285317136