Search a number
-
+
285728220 = 223257872017
BaseRepresentation
bin10001000001111…
…101110111011100
3201220122111102200
4101001331313130
51041121300340
644204051500
710036435611
oct2101756734
9656574380
10285728220
11137316928
127b833b90
1347271a6b
1429d3a508
151a140330
hex1107dddc

285728220 has 72 divisors (see below), whose sum is σ = 868240464. Its totient is φ = 76059648.

The previous prime is 285728203. The next prime is 285728263. The reversal of 285728220 is 22827582.

285728220 is a `hidden beast` number, since 2 + 8 + 572 + 82 + 2 + 0 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140652 + ... + 142668.

Almost surely, 2285728220 is an apocalyptic number.

285728220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285728220 is an abundant number, since it is smaller than the sum of its proper divisors (582512244).

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

285728220 is a wasteful number, since it uses less digits than its factorization.

285728220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 285728220 is about 16903.4972712750. The cubic root of 285728220 is about 658.6444630237.

The spelling of 285728220 in words is "two hundred eighty-five million, seven hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 787 1574 2017 2361 3148 3935 4034 4722 6051 7083 7870 8068 9444 10085 11805 12102 14166 15740 18153 20170 23610 24204 28332 30255 35415 36306 40340 47220 60510 70830 72612 90765 121020 141660 181530 363060 1587379 3174758 4762137 6349516 7936895 9524274 14286411 15873790 19048548 23810685 28572822 31747580 47621370 57145644 71432055 95242740 142864110 285728220