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2000271 = 371317431
BaseRepresentation
bin111101000010110001111
310202121212010
413220112033
51003002041
6110512303
723000460
oct7502617
93677763
102000271
111146919
12805693
135505c0
143a0d67
15297a16
hex1e858f

2000271 has 32 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 990720.

The previous prime is 2000269. The next prime is 2000281. The reversal of 2000271 is 1720002.

2000271 is nontrivially palindromic in base 9.

It is not a de Polignac number, because 2000271 - 21 = 2000269 is a prime.

2000271 is a modest number, since divided by 271 gives 20 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4426 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

22000271 is an apocalyptic number.

2000271 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2000271 is a deficient number, since it is larger than the sum of its proper divisors (1483377).

2000271 is a wasteful number, since it uses less digits than its factorization.

2000271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2000271 is about 1414.3093720965. The cubic root of 2000271 is about 125.9977953759.

Adding to 2000271 its reverse (1720002), we get a palindrome (3720273).

It can be divided in two parts, 200027 and 1, that added together give a triangular number (200028 = T632).

The spelling of 2000271 in words is "two million, two hundred seventy-one", and thus it is an aban number.

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 431 663 1293 1547 3017 4641 5603 7327 9051 16809 21981 39221 51289 95251 117663 153867 285753 666757 2000271