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531000 = 23325359
BaseRepresentation
bin10000001101000111000
3222222101200
42001220320
5113443000
615214200
74341051
oct2015070
9888350
10531000
11332a48
12217360
13157902
14db728
15a7500
hex81a38

531000 has 96 divisors (see below), whose sum is σ = 1825200. Its totient is φ = 139200.

The previous prime is 530989. The next prime is 531017. The reversal of 531000 is 135.

It is a super-2 number, since 2×5310002 = 563922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531000.

It is an unprimeable number.

531000 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, 8971 + ... + 9029.

2531000 is an apocalyptic number.

531000 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 531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912600).

531000 is an abundant number, since it is smaller than the sum of its proper divisors (1294200).

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

531000 is a wasteful number, since it uses less digits than its factorization.

531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 531000 is about 728.6974680895. The cubic root of 531000 is about 80.9775886786.

Adding to 531000 its reverse (135), we get a palindrome (531135).

The spelling of 531000 in words is "five hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 59 60 72 75 90 100 118 120 125 150 177 180 200 225 236 250 295 300 354 360 375 450 472 500 531 590 600 708 750 885 900 1000 1062 1125 1180 1416 1475 1500 1770 1800 2124 2250 2360 2655 2950 3000 3540 4248 4425 4500 5310 5900 7080 7375 8850 9000 10620 11800 13275 14750 17700 21240 22125 26550 29500 35400 44250 53100 59000 66375 88500 106200 132750 177000 265500 531000