Search a number
-
+
286030100 = 225217168253
BaseRepresentation
bin10001000011000…
…111100100010100
3201221012211112102
4101003013210110
51041210430400
644214341232
710042133666
oct2103074424
9657184472
10286030100
11137502714
127b95a818
13473492a5
1429db8536
151a19e9d5
hex110c7914

286030100 has 36 divisors (see below), whose sum is σ = 657200124. Its totient is φ = 107681280.

The previous prime is 286030097. The next prime is 286030111. The reversal of 286030100 is 1030682.

It can be written as a sum of positive squares in 6 ways, for example, as 3857296 + 282172804 = 1964^2 + 16798^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82427 + ... + 85826.

It is an arithmetic number, because the mean of its divisors is an integer number (18255559).

Almost surely, 2286030100 is an apocalyptic number.

286030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286030100 is an abundant number, since it is smaller than the sum of its proper divisors (371170024).

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

286030100 is a wasteful number, since it uses less digits than its factorization.

286030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168284 (or 168277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 286030100 is about 16912.4244270300. The cubic root of 286030100 is about 658.8763402575.

Adding to 286030100 its reverse (1030682), we get a palindrome (287060782).

The spelling of 286030100 in words is "two hundred eighty-six million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 168253 336506 673012 841265 1682530 2860301 3365060 4206325 5720602 8412650 11441204 14301505 16825300 28603010 57206020 71507525 143015050 286030100