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286136064 = 283413799
BaseRepresentation
bin10001000011100…
…001011100000000
3201221102012220000
4101003201130000
51041222323224
644220520000
710043054634
oct2103413400
9657365800
10286136064
11137575295
127b9b0000
13473855a6
142a004dc4
151a1c10c9
hex110e1700

286136064 has 90 divisors (see below), whose sum is σ = 853267800. Its totient is φ = 95371776.

The previous prime is 286136063. The next prime is 286136117. The reversal of 286136064 is 460631682.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286136063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13837 + ... + 27635.

Almost surely, 2286136064 is an apocalyptic number.

286136064 is a gapful number since it is divisible by the number (24) 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 286136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426633900).

286136064 is an abundant number, since it is smaller than the sum of its proper divisors (567131736).

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

286136064 is an equidigital number, since it uses as much as digits as its factorization.

286136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 286136064 is about 16915.5568634320. The cubic root of 286136064 is about 658.9576936450.

The spelling of 286136064 in words is "two hundred eighty-six million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 13799 20736 27598 41397 55196 82794 110392 124191 165588 220784 248382 331176 372573 441568 496764 662352 745146 883136 993528 1117719 1324704 1490292 1766272 1987056 2235438 2649408 2980584 3532544 3974112 4470876 5298816 5961168 7948224 8941752 10597632 11922336 15896448 17883504 23844672 31792896 35767008 47689344 71534016 95378688 143068032 286136064