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531053000 = 23534711299
BaseRepresentation
bin11111101001110…
…011100111001000
31101000021021202122
4133221303213020
52041422144000
6124410150412
716105606322
oct3751634710
91330237678
10531053000
11252846a85
12129a22408
138603845a
145075a612
153194e085
hex1fa739c8

531053000 has 64 divisors (see below), whose sum is σ = 1269216000. Its totient is φ = 207883200.

The previous prime is 531052979. The next prime is 531053011. The reversal of 531053000 is 350135.

It is a self number, because there is not a number n which added to its sum of digits gives 531053000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41351 + ... + 52649.

It is an arithmetic number, because the mean of its divisors is an integer number (19831500).

Almost surely, 2531053000 is an apocalyptic number.

531053000 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 531053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634608000).

531053000 is an abundant number, since it is smaller than the sum of its proper divisors (738163000).

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

531053000 is a wasteful number, since it uses less digits than its factorization.

531053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 531053000 is about 23044.5872169583. The cubic root of 531053000 is about 809.8028275856.

The spelling of 531053000 in words is "five hundred thirty-one million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11299 11750 22598 23500 45196 47000 56495 90392 112990 225980 282475 451960 531053 564950 1062106 1129900 1412375 2124212 2259800 2655265 2824750 4248424 5310530 5649500 10621060 11299000 13276325 21242120 26552650 53105300 66381625 106210600 132763250 265526500 531053000