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530315240 = 235721321601
BaseRepresentation
bin11111100110111…
…111011111101000
31100221212210202012
4133212333133220
52041230041430
6124342255052
716066414400
oct3746773750
91327783665
10530315240
11252392764
12129727488
1385b3a700
1450607800
1531855695
hex1f9bf7e8

530315240 has 144 divisors (see below), whose sum is σ = 1503941580. Its totient is φ = 167731200.

The previous prime is 530315237. The next prime is 530315249. The reversal of 530315240 is 42513035.

It can be written as a sum of positive squares in 6 ways, for example, as 215678596 + 314636644 = 14686^2 + 17738^2 .

It is not an unprimeable number, because it can be changed into a prime (530315249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330440 + ... + 332040.

Almost surely, 2530315240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751970790).

530315240 is an abundant number, since it is smaller than the sum of its proper divisors (973626340).

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

530315240 is a wasteful number, since it uses less digits than its factorization.

530315240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 530315240 is about 23028.5744239629. The cubic root of 530315240 is about 809.4276503369.

Adding to 530315240 its reverse (42513035), we get a palindrome (572828275).

The spelling of 530315240 in words is "five hundred thirty million, three hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 169 182 196 245 260 280 338 364 392 455 490 520 637 676 728 845 910 980 1183 1274 1352 1601 1690 1820 1960 2366 2548 3185 3202 3380 3640 4732 5096 5915 6370 6404 6760 8005 8281 9464 11207 11830 12740 12808 16010 16562 20813 22414 23660 25480 32020 33124 41405 41626 44828 47320 56035 64040 66248 78449 82810 83252 89656 104065 112070 145691 156898 165620 166504 208130 224140 270569 291382 313796 331240 392245 416260 448280 541138 582764 627592 728455 784490 832520 1019837 1082276 1165528 1352845 1456910 1568980 1893983 2039674 2164552 2705690 2913820 3137960 3787966 4079348 5099185 5411380 5827640 7575932 8158696 9469915 10198370 10822760 13257881 15151864 18939830 20396740 26515762 37879660 40793480 53031524 66289405 75759320 106063048 132578810 265157620 530315240