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530021200 = 245223531087
BaseRepresentation
bin11111100101110…
…111101101010000
31100221022212101211
4133211313231100
52041141134300
6124332105504
716064051212
oct3745675520
91327285354
10530021200
11252201855
12129605294
1385a66917
145056c5b2
15317e84ba
hex1f977b50

530021200 has 120 divisors (see below), whose sum is σ = 1355056128. Its totient is φ = 198781440.

The previous prime is 530021159. The next prime is 530021201. The reversal of 530021200 is 2120035.

530021200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487057 + ... + 488143.

Almost surely, 2530021200 is an apocalyptic number.

530021200 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 530021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677528064).

530021200 is an abundant number, since it is smaller than the sum of its proper divisors (825034928).

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

530021200 is a wasteful number, since it uses less digits than its factorization.

530021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 530021200 is about 23022.1892964158. The cubic root of 530021200 is about 809.2780235426.

Adding to 530021200 its reverse (2120035), we get a palindrome (532141235).

It can be divided in two parts, 5300 and 21200, that multiplied together give a square (112360000 = 106002).

The spelling of 530021200 in words is "five hundred thirty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 53 80 92 100 106 115 184 200 212 230 265 368 400 424 460 530 575 848 920 1060 1087 1150 1219 1325 1840 2120 2174 2300 2438 2650 4240 4348 4600 4876 5300 5435 6095 8696 9200 9752 10600 10870 12190 17392 19504 21200 21740 24380 25001 27175 30475 43480 48760 50002 54350 57611 60950 86960 97520 100004 108700 115222 121900 125005 200008 217400 230444 243800 250010 288055 400016 434800 460888 487600 500020 576110 625025 921776 1000040 1152220 1250050 1325053 1440275 2000080 2304440 2500100 2650106 2880550 4608880 5000200 5300212 5761100 6625265 10000400 10600424 11522200 13250530 21200848 23044400 26501060 33126325 53002120 66252650 106004240 132505300 265010600 530021200