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530005300 = 225211539091
BaseRepresentation
bin11111100101110…
…011110100110100
31100221022001120221
4133211303310310
52041140132200
6124331504124
716063653646
oct3745636464
91327261527
10530005300
112521a0910
121295b8044
1385a5c606
1450566896
15317e391a
hex1f973d34

530005300 has 72 divisors (see below), whose sum is σ = 1278480672. Its totient is φ = 189072000.

The previous prime is 530005291. The next prime is 530005313. The reversal of 530005300 is 3500035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53755 + ... + 62845.

It is an arithmetic number, because the mean of its divisors is an integer number (17756676).

Almost surely, 2530005300 is an apocalyptic number.

530005300 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 530005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639240336).

530005300 is an abundant number, since it is smaller than the sum of its proper divisors (748475372).

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

530005300 is a wasteful number, since it uses less digits than its factorization.

530005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 530005300 is about 23021.8439747992. The cubic root of 530005300 is about 809.2699310051.

Adding to 530005300 its reverse (3500035), we get a palindrome (533505335).

The spelling of 530005300 in words is "five hundred thirty million, five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 9091 11660 14575 18182 29150 36364 45455 58300 90910 100001 181820 200002 227275 400004 454550 481823 500005 909100 963646 1000010 1927292 2000020 2409115 2500025 4818230 5000050 5300053 9636460 10000100 10600106 12045575 21200212 24091150 26500265 48182300 53000530 106001060 132501325 265002650 530005300