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275120 = 24519181
BaseRepresentation
bin1000011001010110000
3111222101122
41003022300
532300440
65521412
72224046
oct1031260
9458348
10275120
1117877a
12113268
13982c1
1472396
15567b5
hex432b0

275120 has 40 divisors (see below), whose sum is σ = 677040. Its totient is φ = 103680.

The previous prime is 275087. The next prime is 275129. The reversal of 275120 is 21572.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (275129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1430 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2275120 is an apocalyptic number.

275120 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 275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520).

275120 is an abundant number, since it is smaller than the sum of its proper divisors (401920).

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

275120 is a wasteful number, since it uses less digits than its factorization.

275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 275120 is about 524.5188271168. The cubic root of 275120 is about 65.0390298140.

Adding to 275120 its reverse (21572), we get a palindrome (296692).

The spelling of 275120 in words is "two hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 181 190 304 362 380 724 760 905 1448 1520 1810 2896 3439 3620 6878 7240 13756 14480 17195 27512 34390 55024 68780 137560 275120