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285001290 = 232573114593
BaseRepresentation
bin10000111111001…
…100011001001010
3201212021120021100
4100333030121022
51040430020130
644140322230
710030320360
oct2077143112
9655246240
10285001290
1113696a762
127b543376
1347078c22
1429bcb630
151a049c60
hex10fcc64a

285001290 has 96 divisors (see below), whose sum is σ = 874238976. Its totient is φ = 63037440.

The previous prime is 285001267. The next prime is 285001331. The reversal of 285001290 is 92100582.

285001290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 12234 + ... + 26826.

It is an arithmetic number, because the mean of its divisors is an integer number (9106656).

Almost surely, 2285001290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285001290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437119488).

285001290 is an abundant number, since it is smaller than the sum of its proper divisors (589237686).

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

285001290 is a wasteful number, since it uses less digits than its factorization.

285001290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 285001290 is about 16881.9812225935. The cubic root of 285001290 is about 658.0854294220.

The spelling of 285001290 in words is "two hundred eighty-five million, one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 14593 19530 29186 43779 72965 87558 102151 131337 145930 204302 218895 262674 306453 437790 452383 510755 612906 656685 904766 919359 1021510 1313370 1357149 1532265 1838718 2261915 2714298 3064530 3166681 4071447 4523830 4596795 6333362 6785745 8142894 9193590 9500043 13571490 15833405 19000086 20357235 28500129 31666810 40714470 47500215 57000258 95000430 142500645 285001290