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273564116 = 227234211009
BaseRepresentation
bin10000010011100…
…100000111010100
3201001202111102022
4100103210013110
51030013022431
643051232312
76531154010
oct2023440724
9631674368
10273564116
11130468851
1277748698
13448a3177
1428491540
151903b07b
hex104e41d4

273564116 has 48 divisors (see below), whose sum is σ = 572839680. Its totient is φ = 111767040.

The previous prime is 273564097. The next prime is 273564127. The reversal of 273564116 is 611465372.

273564116 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 3×2735641163 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270620 + ... + 271628.

It is an arithmetic number, because the mean of its divisors is an integer number (11934160).

Almost surely, 2273564116 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 273564116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286419840).

273564116 is an abundant number, since it is smaller than the sum of its proper divisors (299275564).

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

273564116 is a wasteful number, since it uses less digits than its factorization.

273564116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 273564116 is about 16539.7737590331. The cubic root of 273564116 is about 649.1619305608.

The spelling of 273564116 in words is "two hundred seventy-three million, five hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 421 644 842 1009 1684 2018 2947 4036 5894 7063 9683 11788 14126 19366 23207 28252 38732 46414 67781 92828 135562 162449 271124 324898 424789 649796 849578 1699156 2973523 5947046 9770147 11894092 19540294 39080588 68391029 136782058 273564116