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530240000 = 29541657
BaseRepresentation
bin11111100110101…
…101001000000000
31100221201222112112
4133212231020000
52041220140000
6124340514452
716065652133
oct3746551000
91327658475
10530240000
11252341184
121296aba28
1385b123a4
14505c821a
153183d235
hex1f9ad200

530240000 has 100 divisors (see below), whose sum is σ = 1324680654. Its totient is φ = 211968000.

The previous prime is 530239991. The next prime is 530240033. The reversal of 530240000 is 42035.

It can be written as a sum of positive squares in 5 ways, for example, as 135424 + 530104576 = 368^2 + 23024^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319172 + ... + 320828.

Almost surely, 2530240000 is an apocalyptic number.

530240000 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 530240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662340327).

530240000 is an abundant number, since it is smaller than the sum of its proper divisors (794440654).

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

530240000 is an frugal number, since it uses more digits than its factorization.

530240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 530240000 is about 23026.9407433988. The cubic root of 530240000 is about 809.3893685677.

Adding to 530240000 its reverse (42035), we get a palindrome (530282035).

The spelling of 530240000 in words is "five hundred thirty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 1657 2000 2500 2560 3200 3314 4000 5000 6400 6628 8000 8285 10000 12800 13256 16000 16570 20000 26512 32000 33140 40000 41425 53024 64000 66280 80000 82850 106048 132560 160000 165700 207125 212096 265120 320000 331400 414250 424192 530240 662800 828500 848384 1035625 1060480 1325600 1657000 2071250 2120960 2651200 3314000 4142500 4241920 5302400 6628000 8285000 10604800 13256000 16570000 21209600 26512000 33140000 53024000 66280000 106048000 132560000 265120000 530240000