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285138620 = 2251317312081
BaseRepresentation
bin10000111111101…
…101111010111100
3201212112112122122
4100333231322330
51040443413440
644143302112
710031431634
oct2077557274
9655475578
10285138620
11136a53958
127b5aa938
13470c65a0
1429c256c4
151a0757b5
hex10fedebc

285138620 has 96 divisors (see below), whose sum is σ = 705148416. Its totient is φ = 95846400.

The previous prime is 285138619. The next prime is 285138649. The reversal of 285138620 is 26831582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135980 + ... + 138060.

It is an arithmetic number, because the mean of its divisors is an integer number (7345296).

Almost surely, 2285138620 is an apocalyptic number.

285138620 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 285138620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352574208).

285138620 is an abundant number, since it is smaller than the sum of its proper divisors (420009796).

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

285138620 is a wasteful number, since it uses less digits than its factorization.

285138620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 285138620 is about 16886.0480871043. The cubic root of 285138620 is about 658.1911135752.

The spelling of 285138620 in words is "two hundred eighty-five million, one hundred thirty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 62 65 68 85 124 130 155 170 221 260 310 340 403 442 527 620 806 884 1054 1105 1612 2015 2081 2108 2210 2635 4030 4162 4420 5270 6851 8060 8324 10405 10540 13702 20810 27053 27404 34255 35377 41620 54106 64511 68510 70754 108212 129022 135265 137020 141508 176885 258044 270530 322555 353770 459901 541060 645110 707540 838643 919802 1096687 1290220 1677286 1839604 2193374 2299505 3354572 4193215 4386748 4599010 5483435 8386430 9198020 10966870 14256931 16772860 21933740 28513862 57027724 71284655 142569310 285138620