Search a number
-
+
10530399 = 3114143181
BaseRepresentation
bin101000001010…
…111001011111
3201210222222210
4220022321133
510143433044
61013411503
7155335605
oct50127137
921728883
1010530399
115a42710
123639b93
132249109
141581875
15dd01b9
hexa0ae5f

10530399 has 32 divisors (see below), whose sum is σ = 16144128. Its totient is φ = 6048000.

The previous prime is 10530367. The next prime is 10530419. The reversal of 10530399 is 99303501.

It is not a de Polignac number, because 10530399 - 25 = 10530367 is a prime.

It is a super-3 number, since 3×105303993 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58089 + ... + 58269.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 210530399 is an apocalyptic number.

10530399 is a deficient number, since it is larger than the sum of its proper divisors (5613729).

10530399 is a wasteful number, since it uses less digits than its factorization.

10530399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 10530399 is about 3245.0576266070. The cubic root of 10530399 is about 219.1870756117.

The spelling of 10530399 in words is "ten million, five hundred thirty thousand, three hundred ninety-nine".

Divisors: 1 3 11 33 41 43 123 129 181 451 473 543 1353 1419 1763 1991 5289 5973 7421 7783 19393 22263 23349 58179 81631 85613 244893 256839 319103 957309 3510133 10530399