Search a number
-
+
530405730 = 2325371491069
BaseRepresentation
bin11111100111010…
…101100101100010
31100222001101212200
4133213111211202
52041240440410
6124344234030
716100242251
oct3747254542
91328041780
10530405730
11252444748
1212976b916
1385b6c95a
145062c798
15318723c0
hex1f9d5962

530405730 has 96 divisors (see below), whose sum is σ = 1427166000. Its totient is φ = 136567296.

The previous prime is 530405719. The next prime is 530405747. The reversal of 530405730 is 37504035.

It is a happy number.

530405730 is a `hidden beast` number, since 53 + 0 + 40 + 573 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 224190729 + 306215001 = 14973^2 + 17499^2 .

It is a junction number, because it is equal to n+sod(n) for n = 530405694 and 530405703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495636 + ... + 496704.

Almost surely, 2530405730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530405730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713583000).

530405730 is an abundant number, since it is smaller than the sum of its proper divisors (896760270).

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

530405730 is a wasteful number, since it uses less digits than its factorization.

530405730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 530405730 is about 23030.5390731524. The cubic root of 530405730 is about 809.4736864407.

Adding to 530405730 its reverse (37504035), we get a palindrome (567909765).

It can be divided in two parts, 530405 and 730, that added together give a palindrome (531135).

The spelling of 530405730 in words is "five hundred thirty million, four hundred five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 149 185 222 298 333 370 447 555 666 745 894 1069 1110 1341 1490 1665 2138 2235 2682 3207 3330 4470 5345 5513 6414 6705 9621 10690 11026 13410 16035 16539 19242 27565 32070 33078 39553 48105 49617 55130 79106 82695 96210 99234 118659 159281 165390 197765 237318 248085 318562 355977 395530 477843 496170 593295 711954 796405 955686 1186590 1433529 1592810 1779885 2389215 2867058 3559770 4778430 5893397 7167645 11786794 14335290 17680191 29466985 35360382 53040573 58933970 88400955 106081146 176801910 265202865 530405730