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285109020 = 223257713187
BaseRepresentation
bin10000111111100…
…110101100011100
3201212111001001100
4100333212230130
51040441442040
644142513100
710031246430
oct2077465434
9655431040
10285109020
11136a33699
127b595790
13470b5c81
1429c189c0
151a06bb30
hex10fe6b1c

285109020 has 144 divisors (see below), whose sum is σ = 1002613248. Its totient is φ = 64229760.

The previous prime is 285109007. The next prime is 285109021. The reversal of 285109020 is 20901582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285109021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87867 + ... + 91053.

It is an arithmetic number, because the mean of its divisors is an integer number (6962592).

Almost surely, 2285109020 is an apocalyptic number.

285109020 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 285109020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501306624).

285109020 is an abundant number, since it is smaller than the sum of its proper divisors (717504228).

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

285109020 is a wasteful number, since it uses less digits than its factorization.

285109020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3275 counting only the distinct ones).

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

The square root of 285109020 is about 16885.1716011416. The cubic root of 285109020 is about 658.1683373653.

The spelling of 285109020 in words is "two hundred eighty-five million, one hundred nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3187 3195 4260 4473 4970 5964 6374 6390 7455 8946 9561 9940 12748 12780 14910 15935 17892 19122 22309 22365 28683 29820 31870 38244 44618 44730 47805 57366 63740 66927 89236 89460 95610 111545 114732 133854 143415 191220 200781 223090 226277 267708 286830 334635 401562 446180 452554 573660 669270 678831 803124 905108 1003905 1131385 1338540 1357662 1583939 2007810 2036493 2262770 2715324 3167878 3394155 4015620 4072986 4525540 4751817 6335756 6788310 7919695 8145972 9503634 10182465 13576620 14255451 15839390 19007268 20364930 23759085 28510902 31678780 40729860 47518170 57021804 71277255 95036340 142554510 285109020