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286032006 = 23313433941
BaseRepresentation
bin10001000011001…
…000000010000110
3201221012221011000
4101003020002012
51041211011011
644214354130
710042142361
oct2103100206
9657187130
10286032006
11137504097
127b95b946
134734a110
1429db90d8
151a1a0356
hex110c8086

286032006 has 64 divisors (see below), whose sum is σ = 686831040. Its totient is φ = 87713280.

The previous prime is 286031981. The next prime is 286032011. The reversal of 286032006 is 600230682.

286032006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303496 + ... + 304436.

It is an arithmetic number, because the mean of its divisors is an integer number (10731735).

Almost surely, 2286032006 is an apocalyptic number.

286032006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 286032006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343415520).

286032006 is an abundant number, since it is smaller than the sum of its proper divisors (400799034).

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

286032006 is a wasteful number, since it uses less digits than its factorization.

286032006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 286032006 is about 16912.4807760423. The cubic root of 286032006 is about 658.8778037579.

Adding to 286032006 its reverse (600230682), we get a palindrome (886262688).

The spelling of 286032006 in words is "two hundred eighty-six million, thirty-two thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 433 702 866 941 1299 1882 2598 2823 3897 5629 5646 7794 8469 11258 11691 12233 16887 16938 23382 24466 25407 33774 36699 50661 50814 73398 101322 110097 151983 220194 303966 330291 407453 660582 814906 1222359 2444718 3667077 5296889 7334154 10593778 11001231 15890667 22002462 31781334 47672001 95344002 143016003 286032006