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206520084 = 223313913757
BaseRepresentation
bin11000100111100…
…11111100010100
3112101121022022000
430103303330110
5410332120314
632254235300
75055251241
oct1423637424
9471538260
10206520084
11a6636661
12591b5b30
1333a2ac44
141d5dc5c8
15131e6209
hexc4f3f14

206520084 has 48 divisors (see below), whose sum is σ = 539313600. Its totient is φ = 68339808.

The previous prime is 206520079. The next prime is 206520089. The reversal of 206520084 is 480025602.

206520084 is a `hidden beast` number, since 2 + 0 + 652 + 0 + 0 + 8 + 4 = 666.

206520084 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206520079) and next prime (206520089).

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

206520084 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206520089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8134 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (11235700).

Almost surely, 2206520084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206520084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269656800).

206520084 is an abundant number, since it is smaller than the sum of its proper divisors (332793516).

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

206520084 is a wasteful number, since it uses less digits than its factorization.

206520084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 206520084 is about 14370.8066579437. The cubic root of 206520084 is about 591.0906609351.

Adding to 206520084 its reverse (480025602), we get a palindrome (686545686).

The spelling of 206520084 in words is "two hundred six million, five hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 13757 15012 27514 41271 55028 82542 123813 165084 247626 371439 495252 742878 1485756 1912223 3824446 5736669 7648892 11473338 17210007 22946676 34420014 51630021 68840028 103260042 206520084