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285041280 = 2735314789
BaseRepresentation
bin10000111111010…
…110001010000000
3201212100121010110
4100333112022000
51040432310110
644141231320
710030545066
oct2077261200
9655317113
10285041280
11136997807
127b562540
13470911a4
1429bdc036
151a056a20
hex10fd6280

285041280 has 128 divisors (see below), whose sum is σ = 938073600. Its totient is φ = 73543680.

The previous prime is 285041269. The next prime is 285041413. The reversal of 285041280 is 82140582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57126 + ... + 61914.

It is an arithmetic number, because the mean of its divisors is an integer number (7328700).

Almost surely, 2285041280 is an apocalyptic number.

285041280 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 285041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469036800).

285041280 is an abundant number, since it is smaller than the sum of its proper divisors (653032320).

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

285041280 is a wasteful number, since it uses less digits than its factorization.

285041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 285041280 is about 16883.1655799498. The cubic root of 285041280 is about 658.1162077687.

The spelling of 285041280 in words is "two hundred eighty-five million, forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4789 4960 5952 7440 9578 9920 11904 14367 14880 19156 19840 23945 28734 29760 38312 47890 57468 59520 71835 76624 95780 114936 143670 148459 153248 191560 229872 287340 296918 306496 383120 445377 459744 574680 593836 612992 742295 766240 890754 919488 1149360 1187672 1484590 1532480 1781508 1838976 2226885 2298720 2375344 2969180 3064960 3563016 4453770 4597440 4750688 5938360 7126032 8907540 9194880 9501376 11876720 14252064 17815080 19002752 23753440 28504128 35630160 47506880 57008256 71260320 95013760 142520640 285041280