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10530260 = 22513101401
BaseRepresentation
bin101000001010…
…110111010100
3201210222210122
4220022313110
510143432020
61013411112
7155335316
oct50126724
921728718
1010530260
115a425a4
123639a98
132249030
1415817b6
15dd0125
hexa0add4

10530260 has 48 divisors (see below), whose sum is σ = 24110352. Its totient is φ = 3840000.

The previous prime is 10530253. The next prime is 10530263. The reversal of 10530260 is 6203501.

It can be written as a sum of positive squares in 8 ways, for example, as 1373584 + 9156676 = 1172^2 + 3026^2 .

It is a super-2 number, since 2×105302602 = 221772751335200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26060 + ... + 26460.

It is an arithmetic number, because the mean of its divisors is an integer number (502299).

Almost surely, 210530260 is an apocalyptic number.

10530260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10530260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055176).

10530260 is an abundant number, since it is smaller than the sum of its proper divisors (13580092).

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

10530260 is a wasteful number, since it uses less digits than its factorization.

10530260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10530260 is about 3245.0362093511. The cubic root of 10530260 is about 219.1861111931.

Adding to 10530260 its reverse (6203501), we get a palindrome (16733761).

The spelling of 10530260 in words is "ten million, five hundred thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 401 404 505 802 1010 1313 1604 2005 2020 2626 4010 5213 5252 6565 8020 10426 13130 20852 26065 26260 40501 52130 81002 104260 162004 202505 405010 526513 810020 1053026 2106052 2632565 5265130 10530260