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273042 = 232711197
BaseRepresentation
bin1000010101010010010
3111212112200
41002222102
532214132
65504030
72215020
oct1025222
9455480
10273042
11177160
12112016
1397383
1471710
1555d7c
hex42a92

273042 has 48 divisors (see below), whose sum is σ = 741312. Its totient is φ = 70560.

The previous prime is 273029. The next prime is 273043. The reversal of 273042 is 240372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 29 + 7 + 0 + 37 + 49 + 213 .

It is not an unprimeable number, because it can be changed into a prime (273043) by changing a digit.

273042 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 23 ways as a sum of consecutive naturals, for example, 1288 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (15444).

2273042 is an apocalyptic number.

273042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 273042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370656).

273042 is an abundant number, since it is smaller than the sum of its proper divisors (468270).

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

273042 is a wasteful number, since it uses less digits than its factorization.

273042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 273042 is about 522.5342094064. The cubic root of 273042 is about 64.8748677423.

It can be divided in two parts, 2730 and 42, that added together give a palindrome (2772).

The spelling of 273042 in words is "two hundred seventy-three thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 197 198 231 394 462 591 693 1182 1379 1386 1773 2167 2758 3546 4137 4334 6501 8274 12411 13002 15169 19503 24822 30338 39006 45507 91014 136521 273042