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282000030 = 235133172281
BaseRepresentation
bin10000110011101…
…111101010011110
3201122122002022120
4100303233222132
51034143000110
643552123410
76662650344
oct2063575236
9648562276
10282000030
111351aa884
127a536566
1346567b30
1429649994
1519b55870
hex10cefa9e

282000030 has 64 divisors (see below), whose sum is σ = 731481408. Its totient is φ = 69166080.

The previous prime is 281999983. The next prime is 282000073. The reversal of 282000030 is 30000282.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 281999973 and 282000009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122490 + ... + 124770.

It is an arithmetic number, because the mean of its divisors is an integer number (11429397).

Almost surely, 2282000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365740704).

282000030 is an abundant number, since it is smaller than the sum of its proper divisors (449481378).

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

282000030 is a wasteful number, since it uses less digits than its factorization.

282000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 282000030 is about 16792.8565169836. The cubic root of 282000030 is about 655.7672418711.

The spelling of 282000030 in words is "two hundred eighty-two million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 317 390 634 951 1585 1902 2281 3170 4121 4562 4755 6843 8242 9510 11405 12363 13686 20605 22810 24726 29653 34215 41210 59306 61815 68430 88959 123630 148265 177918 296530 444795 723077 889590 1446154 2169231 3615385 4338462 7230770 9400001 10846155 18800002 21692310 28200003 47000005 56400006 94000010 141000015 282000030