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530503200 = 25325273681
BaseRepresentation
bin11111100111101…
…101011000100000
31100222020100120200
4133213231120200
52041302100300
6124350305200
716101126363
oct3747553040
91328210520
10530503200
112525009a7
121297b8200
1385ba5126
14506560da
1531891200
hex1f9ed620

530503200 has 108 divisors (see below), whose sum is σ = 1870712298. Its totient is φ = 141465600.

The previous prime is 530503189. The next prime is 530503201. The reversal of 530503200 is 2305035.

It can be written as a sum of positive squares in 3 ways, for example, as 274631184 + 255872016 = 16572^2 + 15996^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530503201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29641 + ... + 44040.

Almost surely, 2530503200 is an apocalyptic number.

530503200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530503200 is an abundant number, since it is smaller than the sum of its proper divisors (1340209098).

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

530503200 is a wasteful number, since it uses less digits than its factorization.

530503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73707 (or 73691 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 530503200 is about 23032.6550792565. The cubic root of 530503200 is about 809.5232677099.

Adding to 530503200 its reverse (2305035), we get a palindrome (532808235).

The spelling of 530503200 in words is "five hundred thirty million, five hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 73681 147362 221043 294724 368405 442086 589448 663129 736810 884172 1105215 1178896 1326258 1473620 1768344 1842025 2210430 2357792 2652516 2947240 3315645 3536688 3684050 4420860 5305032 5526075 5894480 6631290 7073376 7368100 8841720 10610064 11052150 11788960 13262580 14736200 16578225 17683440 21220128 22104300 26525160 29472400 33156450 35366880 44208600 53050320 58944800 66312900 88417200 106100640 132625800 176834400 265251600 530503200