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BaseRepresentation
bin100010001
3101010
410101
52043
61133
7540
oct421
9333
10273
11229
121a9
13180
14157
15133
hex111

• Sorting the digits of 2273 in ascending order we obtain a prime of 71 digits.

273 has 8 divisors (see below), whose sum is σ = 448. Its totient is φ = 144.

The previous prime is 271. The next prime is 277. The reversal of 273 is 372.

273 is nontrivially palindromic in base 2, base 4, base 9 and base 16.

273 is an esthetic number in base 3 and base 4, because in such bases its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 273 - 21 = 271 is a prime.

273 is an idoneal number.

It is an Ulam number.

It is the 17-th Hogben number.

273 is an undulating number in base 3 and base 4.

It is a Curzon number.

273 is a lucky number.

273 is a nontrivial repdigit in base 9 and base 16.

It is a plaindrome in base 6, base 9, base 11, base 14, base 15 and base 16.

It is a nialpdrome in base 7, base 8, base 9 and base 16.

It is a zygodrome in base 6, base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (271) by changing a digit.

It is a nontrivial repunit in base 16.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 27.

It is an arithmetic number, because the mean of its divisors is an integer number (56).

It is an amenable number.

273 is a deficient number, since it is larger than the sum of its proper divisors (175).

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

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

The sum of its prime factors is 23.

The product of its digits is 42, while the sum is 12.

The square root of 273 is about 16.5227116419. The cubic root of 273 is about 6.4871541167.

Subtracting from 273 its product of digits (42), we obtain a triangular number (231 = T21).

Subtracting 273 from its reverse (372), we obtain a palindrome (99).

It can be divided in two parts, 27 and 3, that multiplied together give a 4-th power (81 = 34).

The spelling of 273 in words is "two hundred seventy-three", and thus it is an aban number and an iban number.

Divisors: 1 3 7 13 21 39 91 273