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273104 = 24132101
BaseRepresentation
bin1000010101011010000
3111212121222
41002223100
532214404
65504212
72215136
oct1025320
9455558
10273104
11177207
12112068
1397400
1471756
1555dbe
hex42ad0

273104 has 30 divisors (see below), whose sum is σ = 578646. Its totient is φ = 124800.

The previous prime is 273083. The next prime is 273107. The reversal of 273104 is 401372.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 250000 = 152^2 + 500^2 .

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273107) by changing a digit.

273104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2654 + ... + 2754.

2273104 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 273104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289323).

273104 is an abundant number, since it is smaller than the sum of its proper divisors (305542).

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

273104 is a wasteful number, since it uses less digits than its factorization.

273104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 273104 is about 522.5935322983. The cubic root of 273104 is about 64.8797777774.

Adding to 273104 its reverse (401372), we get a palindrome (674476).

The spelling of 273104 in words is "two hundred seventy-three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 52 101 104 169 202 208 338 404 676 808 1313 1352 1616 2626 2704 5252 10504 17069 21008 34138 68276 136552 273104