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275305716 = 22347217341
BaseRepresentation
bin10000011010001…
…101010011110100
3201012000222110000
4100122031103310
51030434240331
643152431300
76552026400
oct2032152364
9635028400
10275305716
11131448294
1278248530
1345062aba
14287c6100
15192820e6
hex1068d4f4

275305716 has 90 divisors (see below), whose sum is σ = 837254418. Its totient is φ = 78654240.

The previous prime is 275305673. The next prime is 275305717. The reversal of 275305716 is 617503572.

It can be written as a sum of positive squares in only one way, i.e., 268304400 + 7001316 = 16380^2 + 2646^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275305717) 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 29 ways as a sum of consecutive naturals, for example, 7206 + ... + 24546.

Almost surely, 2275305716 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 275305716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418627209).

275305716 is an abundant number, since it is smaller than the sum of its proper divisors (561948702).

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

275305716 is a wasteful number, since it uses less digits than its factorization.

275305716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 275305716 is about 16592.3390756096. The cubic root of 275305716 is about 650.5366109195.

The spelling of 275305716 in words is "two hundred seventy-five million, three hundred five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 17341 34682 52023 69364 104046 121387 156069 208092 242774 312138 364161 468207 485548 624276 728322 849709 936414 1092483 1404621 1456644 1699418 1872828 2184966 2549127 2809242 3277449 3398836 4369932 5098254 5618484 6554898 7647381 9832347 10196508 13109796 15294762 19664694 22942143 30589524 39329388 45884286 68826429 91768572 137652858 275305716