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530832330 = 232574120551
BaseRepresentation
bin11111101000111…
…101101111001010
31100222212002001200
4133220331233022
52041343113310
6124401325030
716104000060
oct3750755712
91328762050
10530832330
11252706206
12129936776
1385c8bb92
1450700030
15319089c0
hex1fa3dbca

530832330 has 96 divisors (see below), whose sum is σ = 1615880448. Its totient is φ = 118368000.

The previous prime is 530832319. The next prime is 530832349. The reversal of 530832330 is 33238035.

It is a happy number.

530832330 is a `hidden beast` number, since 5 + 308 + 323 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 530832294 and 530832303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15555 + ... + 36105.

It is an arithmetic number, because the mean of its divisors is an integer number (16832088).

Almost surely, 2530832330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530832330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807940224).

530832330 is an abundant number, since it is smaller than the sum of its proper divisors (1085048118).

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

530832330 is a wasteful number, since it uses less digits than its factorization.

530832330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20609 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 530832330 is about 23039.7988272467. The cubic root of 530832330 is about 809.6906454697.

The spelling of 530832330 in words is "five hundred thirty million, eight hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 8610 12915 20551 25830 41102 61653 102755 123306 143857 184959 205510 287714 308265 369918 431571 616530 719285 842591 863142 924795 1294713 1438570 1685182 1849590 2157855 2527773 2589426 4212955 4315710 5055546 5898137 6473565 7583319 8425910 11796274 12638865 12947130 15166638 17694411 25277730 29490685 35388822 37916595 53083233 58981370 75833190 88472055 106166466 176944110 265416165 530832330