Search a number
-
+
275200 = 285243
BaseRepresentation
bin1000011001100000000
3111222111121
41003030000
532301300
65522024
72224222
oct1031400
9458447
10275200
11178842
12113314
1398353
1472412
155681a
hex43300

275200 has 54 divisors (see below), whose sum is σ = 697004. Its totient is φ = 107520.

The previous prime is 275183. The next prime is 275201. The reversal of 275200 is 2572.

Adding to 275200 its reverse (2572), we get a palindrome (277772).

It is a happy number.

275200 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (275201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6379 + ... + 6421.

2275200 is an apocalyptic number.

275200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348502).

275200 is an abundant number, since it is smaller than the sum of its proper divisors (421804).

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

275200 is an equidigital number, since it uses as much as digits as its factorization.

275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 275200 is about 524.5950819442. The cubic root of 275200 is about 65.0453332672.

The spelling of 275200 in words is "two hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 256 320 344 400 430 640 688 800 860 1075 1280 1376 1600 1720 2150 2752 3200 3440 4300 5504 6400 6880 8600 11008 13760 17200 27520 34400 55040 68800 137600 275200