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10563324 = 2231753977
BaseRepresentation
bin101000010010…
…111011111100
3201212200011020
4220102323330
510201011244
61014224140
7155533602
oct50227374
921780136
1010563324
115a65422
123655050
13225b0b5
14158d872
15dd9d19
hexa12efc

10563324 has 48 divisors (see below), whose sum is σ = 26617248. Its totient is φ = 3248128.

The previous prime is 10563323. The next prime is 10563347. The reversal of 10563324 is 42336501.

It is a happy number.

It is a super-2 number, since 2×105633242 = 223167627857952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10563294 and 10563303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10563323) 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 15 ways as a sum of consecutive naturals, for example, 10324 + ... + 11300.

It is an arithmetic number, because the mean of its divisors is an integer number (554526).

Almost surely, 210563324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10563324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308624).

10563324 is an abundant number, since it is smaller than the sum of its proper divisors (16053924).

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

10563324 is a wasteful number, since it uses less digits than its factorization.

10563324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 10563324 is about 3250.1267667585. The cubic root of 10563324 is about 219.4152792493.

Adding to 10563324 its reverse (42336501), we get a palindrome (52899825).

The spelling of 10563324 in words is "ten million, five hundred sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 977 1802 1954 2703 2931 3604 3908 5406 5862 10812 11724 16609 33218 49827 51781 66436 99654 103562 155343 199308 207124 310686 621372 880277 1760554 2640831 3521108 5281662 10563324