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282240 = 2732572
BaseRepresentation
bin1000100111010000000
3112100011100
41010322000
533012430
610014400
72253600
oct1047200
9470140
10282240
11183062
12117400
139b60a
1474c00
1558960
hex44e80

282240 has 144 divisors (see below), whose sum is σ = 1133730. Its totient is φ = 64512.

The previous prime is 282239. The next prime is 282241. The reversal of 282240 is 42282.

It is an interprime number because it is at equal distance from previous prime (282239) and next prime (282241).

It can be written as a sum of positive squares in only one way, i.e., 254016 + 28224 = 504^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (282241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40317 + ... + 40323.

282240 is a Friedman number, since it can be written as 84^2*20*2, using all its digits and the basic arithmetic operations.

2282240 is an apocalyptic number.

282240 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 282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566865).

282240 is an abundant number, since it is smaller than the sum of its proper divisors (851490).

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

282240 is a wasteful number, since it uses less digits than its factorization.

282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 282240 is about 531.2626469083. The cubic root of 282240 is about 65.5953199120.

The spelling of 282240 in words is "two hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 384 392 420 441 448 480 490 504 560 576 588 630 640 672 720 735 784 840 882 896 960 980 1008 1120 1152 1176 1260 1344 1440 1470 1568 1680 1764 1920 1960 2016 2205 2240 2352 2520 2688 2880 2940 3136 3360 3528 3920 4032 4410 4480 4704 5040 5760 5880 6272 6720 7056 7840 8064 8820 9408 10080 11760 13440 14112 15680 17640 18816 20160 23520 28224 31360 35280 40320 47040 56448 70560 94080 141120 282240