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10530 = 234513
BaseRepresentation
bin10100100100010
3112110000
42210202
5314110
6120430
742462
oct24442
915400
1010530
117a03
126116
134a40
143ba2
1531c0
hex2922

10530 has 40 divisors (see below), whose sum is σ = 30492. Its totient is φ = 2592.

The previous prime is 10529. The next prime is 10531. The reversal of 10530 is 3501.

10530 is nontrivially palindromic in base 8 and base 12.

It is an interprime number because it is at equal distance from previous prime (10529) and next prime (10531).

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 729 = 99^2 + 27^2 .

It is a super-2 number, since 2×105302 = 221761800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

10530 is a Rhonda number in base 8.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10530.

It is not an unprimeable number, because it can be changed into a prime (10531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 804 + ... + 816.

210530 is an apocalyptic number.

10530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246).

10530 is an abundant number, since it is smaller than the sum of its proper divisors (19962).

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

10530 is a wasteful number, since it uses less digits than its factorization.

10530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10530 is about 102.6157882589. The cubic root of 10530 is about 21.9184307222.

The spelling of 10530 in words is "ten thousand, five hundred thirty".