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285339060 = 223257183269
BaseRepresentation
bin10001000000011…
…110110110110100
3201212220201121100
4101000132312310
51041021322220
644151450100
710033225206
oct2100366664
9655821540
10285339060
11137080506
127b686930
13471668a6
1429c78776
151a0b4d90
hex1101edb4

285339060 has 144 divisors (see below), whose sum is σ = 891596160. Its totient is φ = 73839360.

The previous prime is 285339053. The next prime is 285339071. The reversal of 285339060 is 60933582.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060606 + ... + 1060874.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2285339060 is an apocalyptic number.

285339060 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 285339060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

285339060 is an abundant number, since it is smaller than the sum of its proper divisors (606257100).

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

285339060 is a wasteful number, since it uses less digits than its factorization.

285339060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 285339060 is about 16891.9821217050. The cubic root of 285339060 is about 658.3453039893.

The spelling of 285339060 in words is "two hundred eighty-five million, three hundred thirty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 83 90 142 166 180 213 249 269 284 332 355 415 426 498 538 639 710 747 807 830 852 996 1065 1076 1245 1278 1345 1420 1494 1614 1660 2130 2421 2490 2556 2690 2988 3195 3228 3735 4035 4260 4842 4980 5380 5893 6390 7470 8070 9684 11786 12105 12780 14940 16140 17679 19099 22327 23572 24210 29465 35358 38198 44654 48420 53037 57297 58930 66981 70716 76396 88395 89308 95495 106074 111635 114594 117860 133962 171891 176790 190990 200943 212148 223270 229188 265185 267924 286485 334905 343782 353580 381980 401886 446540 530370 572970 669810 687564 803772 859455 1004715 1060740 1145940 1339620 1585217 1718910 2009430 3170434 3437820 4018860 4755651 6340868 7926085 9511302 14266953 15852170 19022604 23778255 28533906 31704340 47556510 57067812 71334765 95113020 142669530 285339060