Search a number
-
+
530450320 = 24517974021
BaseRepresentation
bin11111100111100…
…000011110010000
31100222010200001011
4133213200132100
52041243402240
6124345220304
716100516251
oct3747403620
91328120034
10530450320
112524751a4
12129791694
1385b8703a
1450640b28
15318806ea
hex1f9e0790

530450320 has 80 divisors (see below), whose sum is σ = 1319634288. Its totient is φ = 197591040.

The previous prime is 530450299. The next prime is 530450321. The reversal of 530450320 is 23054035.

It can be written as a sum of positive squares in 8 ways, for example, as 24920064 + 505530256 = 4992^2 + 22484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 530450291 and 530450300.

It is not an unprimeable number, because it can be changed into a prime (530450321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129910 + ... + 133930.

Almost surely, 2530450320 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 530450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659817144).

530450320 is an abundant number, since it is smaller than the sum of its proper divisors (789183968).

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

530450320 is a wasteful number, since it uses less digits than its factorization.

530450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 530450320 is about 23031.5071152541. The cubic root of 530450320 is about 809.4963693407.

The spelling of 530450320 in words is "five hundred thirty million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 680 776 970 1360 1552 1649 1940 3298 3880 4021 6596 7760 8042 8245 13192 16084 16490 20105 26384 32168 32980 40210 64336 65960 68357 80420 131920 136714 160840 273428 321680 341785 390037 546856 683570 780074 1093712 1367140 1560148 1950185 2734280 3120296 3900370 5468560 6240592 6630629 7800740 13261258 15601480 26522516 31202960 33153145 53045032 66306290 106090064 132612580 265225160 530450320