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282024020 = 22514101201
BaseRepresentation
bin10000110011110…
…101100001010100
3201122200022020002
4100303311201110
51034144232040
643552430432
76663110315
oct2063654124
9648608202
10282024020
11135216903
127a548418
1346575a25
142965460c
1519b5ca15
hex10cf5854

282024020 has 12 divisors (see below), whose sum is σ = 592250484. Its totient is φ = 112809600.

The previous prime is 282024013. The next prime is 282024023. The reversal of 282024020 is 20420282.

It can be written as a sum of positive squares in 2 ways, for example, as 208167184 + 73856836 = 14428^2 + 8594^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 14101201 = 282024020 / (2 + 8 + 2 + 0 + 2 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 282023983 and 282024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282024023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7050581 + ... + 7050620.

It is an arithmetic number, because the mean of its divisors is an integer number (49354207).

Almost surely, 2282024020 is an apocalyptic number.

282024020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282024020 is an abundant number, since it is smaller than the sum of its proper divisors (310226464).

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

282024020 is a wasteful number, since it uses less digits than its factorization.

282024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101210 (or 14101208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 282024020 is about 16793.5707936103. The cubic root of 282024020 is about 655.7858369165.

The spelling of 282024020 in words is "two hundred eighty-two million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 14101201 28202402 56404804 70506005 141012010 282024020