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5271000 = 233537251
BaseRepresentation
bin10100000110110111011000
3100220210110020
4110012313120
52322133000
6304550440
762542230
oct24066730
910823406
105271000
112a801a9
121922420
131127247
149b2cc0
156e1ba0
hex506dd8

5271000 has 128 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1200000.

The previous prime is 5270987. The next prime is 5271041. The reversal of 5271000 is 1725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20875 + ... + 21125.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 25271000 is an apocalyptic number.

5271000 is a gapful number since it is divisible by the number (50) 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 5271000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5271000 is an abundant number, since it is smaller than the sum of its proper divisors (13598760).

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

5271000 is a wasteful number, since it uses less digits than its factorization.

5271000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 5271000 is about 2295.8658497395. The cubic root of 5271000 is about 174.0327590586.

Adding to 5271000 its reverse (1725), we get a palindrome (5272725).

The spelling of 5271000 in words is "five million, two hundred seventy-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 251 280 300 350 375 420 500 502 525 600 700 750 753 840 875 1000 1004 1050 1255 1400 1500 1506 1750 1757 2008 2100 2510 2625 3000 3012 3500 3514 3765 4200 5020 5250 5271 6024 6275 7000 7028 7530 8785 10040 10500 10542 12550 14056 15060 17570 18825 21000 21084 25100 26355 30120 31375 35140 37650 42168 43925 50200 52710 62750 70280 75300 87850 94125 105420 125500 131775 150600 175700 188250 210840 219625 251000 263550 351400 376500 439250 527100 658875 753000 878500 1054200 1317750 1757000 2635500 5271000