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10530648 = 23355417
BaseRepresentation
bin101000001010…
…111101011000
3201211000100000
4220022331120
510143440043
61013413000
7155336412
oct50127530
921730300
1010530648
115a42917
12363a160
13224926b
1415819b2
15dd02d3
hexa0af58

10530648 has 48 divisors (see below), whose sum is σ = 29582280. Its totient is φ = 3509568.

The previous prime is 10530647. The next prime is 10530673. The reversal of 10530648 is 84603501.

10530648 is a `hidden beast` number, since 10 + 5 + 3 + 0 + 648 = 666.

It is a super-2 number, since 2×105306482 = 221789094599808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530643) 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 11 ways as a sum of consecutive naturals, for example, 765 + ... + 4652.

Almost surely, 210530648 is an apocalyptic number.

10530648 is a gapful number since it is divisible by the number (18) 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 10530648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791140).

10530648 is an abundant number, since it is smaller than the sum of its proper divisors (19051632).

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

10530648 is an equidigital number, since it uses as much as digits as its factorization.

10530648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10530648 is about 3245.0959924169. The cubic root of 10530648 is about 219.1888032180.

The spelling of 10530648 in words is "ten million, five hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5417 10834 16251 21668 32502 43336 48753 65004 97506 130008 146259 195012 292518 390024 438777 585036 877554 1170072 1316331 1755108 2632662 3510216 5265324 10530648