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10530304 = 29131157
BaseRepresentation
bin101000001010…
…111000000000
3201210222212021
4220022320000
510143432204
61013411224
7155335411
oct50127000
921728767
1010530304
115a42634
123639b14
132249065
141581808
15dd0154
hexa0ae00

10530304 has 40 divisors (see below), whose sum is σ = 21335688. Its totient is φ = 5191680.

The previous prime is 10530281. The next prime is 10530307. The reversal of 10530304 is 40303501.

It is a super-2 number, since 2×105303042 = 221774604664832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66994 + ... + 67150.

Almost surely, 210530304 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 10530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667844).

10530304 is an abundant number, since it is smaller than the sum of its proper divisors (10805384).

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

10530304 is an equidigital number, since it uses as much as digits as its factorization.

10530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 10530304 is about 3245.0429889294. The cubic root of 10530304 is about 219.1864164776.

Adding to 10530304 its reverse (40303501), we get a palindrome (50833805).

The spelling of 10530304 in words is "ten million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 131 157 256 262 314 512 524 628 1048 1256 2096 2512 4192 5024 8384 10048 16768 20096 20567 33536 40192 41134 67072 80384 82268 164536 329072 658144 1316288 2632576 5265152 10530304