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206763084 = 223311269647
BaseRepresentation
bin11000101001011…
…11010001001100
3112102001122122000
430110233101030
5410412404314
632303352300
75060312553
oct1424572114
9472048560
10206763084
11a6792190
12592b2690
1333ab4728
141d662d9a
1513243209
hexc52f44c

206763084 has 96 divisors (see below), whose sum is σ = 587865600. Its totient is φ = 62326080.

The previous prime is 206763019. The next prime is 206763101. The reversal of 206763084 is 480367602.

206763084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2067630843 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 319249 + ... + 319895.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2206763084 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 206763084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

206763084 is an abundant number, since it is smaller than the sum of its proper divisors (381102516).

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

206763084 is a wasteful number, since it uses less digits than its factorization.

206763084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 206763084 is about 14379.2588126092. The cubic root of 206763084 is about 591.3224039033.

The spelling of 206763084 in words is "two hundred six million, seven hundred sixty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 269 297 396 538 594 647 807 1076 1188 1294 1614 1941 2421 2588 2959 3228 3882 4842 5823 5918 7117 7263 7764 8877 9684 11646 11836 14234 14526 17469 17754 21351 23292 26631 28468 29052 34938 35508 42702 53262 64053 69876 79893 85404 106524 128106 159786 174043 192159 256212 319572 348086 384318 522129 696172 768636 1044258 1566387 1914473 2088516 3132774 3828946 4699161 5743419 6265548 7657892 9398322 11486838 17230257 18796644 22973676 34460514 51690771 68921028 103381542 206763084