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206726884 = 2272132792
BaseRepresentation
bin11000101001001…
…10011011100100
3112101222210222021
430110212123210
5410410230014
632302512524
75060102200
oct1424463344
9471883867
10206726884
11a6767a71
1259295744
1333aa1100
141d653b00
1513237624
hexc5266e4

206726884 has 81 divisors (see below), whose sum is σ = 461540457. Its totient is φ = 80746848.

The previous prime is 206726867. The next prime is 206726887. The reversal of 206726884 is 488627602.

The square root of 206726884 is 14378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30580900 + 176145984 = 5530^2 + 13272^2 .

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 206726884.

It is not an unprimeable number, because it can be changed into a prime (206726887) 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 26 ways as a sum of consecutive naturals, for example, 2616757 + ... + 2616835.

Almost surely, 2206726884 is an apocalyptic number.

206726884 is the 14378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206726884

206726884 is an abundant number, since it is smaller than the sum of its proper divisors (254813573).

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

206726884 is a wasteful number, since it uses less digits than its factorization.

206726884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The cubic root of 206726884 is about 591.2878923907.

It can be divided in two parts, 20672 and 6884, that added together give a square (27556 = 1662).

The spelling of 206726884 in words is "two hundred six million, seven hundred twenty-six thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 79 91 98 158 169 182 196 316 338 364 553 637 676 1027 1106 1183 1274 2054 2212 2366 2548 3871 4108 4732 6241 7189 7742 8281 12482 13351 14378 15484 16562 24964 26702 28756 33124 43687 50323 53404 81133 87374 93457 100646 162266 174748 186914 201292 305809 324532 373828 567931 611618 654199 1054729 1135862 1223236 1308398 2109458 2271724 2616796 3975517 4218916 7383103 7951034 14766206 15902068 29532412 51681721 103363442 206726884