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530390106 = 23417292229
BaseRepresentation
bin11111100111010…
…001110001011010
31100222000121110000
4133213101301122
52041234440411
6124344033430
716100145561
oct3747216132
91328017400
10530390106
11252433a34
12129762876
1385b657cc
1450626bd8
153186c956
hex1f9d1c5a

530390106 has 120 divisors (see below), whose sum is σ = 1308956220. Its totient is φ = 159957504.

The previous prime is 530390099. The next prime is 530390141. The reversal of 530390106 is 601093035.

It can be written as a sum of positive squares in 6 ways, for example, as 466948881 + 63441225 = 21609^2 + 7965^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 530390106.

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 59 ways as a sum of consecutive naturals, for example, 2316000 + ... + 2316228.

Almost surely, 2530390106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530390106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654478110).

530390106 is an abundant number, since it is smaller than the sum of its proper divisors (778566114).

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

530390106 is a wasteful number, since it uses less digits than its factorization.

530390106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 530390106 is about 23030.1998688678. The cubic root of 530390106 is about 809.4657382228.

The spelling of 530390106 in words is "five hundred thirty million, three hundred ninety thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 229 261 306 458 459 493 522 687 783 841 918 986 1374 1377 1479 1566 1682 2061 2349 2523 2754 2958 3893 4122 4437 4698 5046 6183 6641 7569 7786 8874 11679 12366 13282 13311 14297 15138 18549 19923 22707 23358 26622 28594 35037 37098 39846 39933 42891 45414 59769 68121 70074 79866 85782 105111 112897 119538 128673 136242 179307 192589 210222 225794 257346 315333 338691 358614 385178 386019 537921 577767 630666 677382 772038 1016073 1075842 1155534 1158057 1733301 2032146 2316114 3048219 3274013 3466602 5199903 6096438 6548026 9144657 9822039 10399806 15599709 18289314 19644078 29466117 31199418 58932234 88398351 176796702 265195053 530390106