Search a number
-
+
10305328 = 241125323
BaseRepresentation
bin100111010011…
…111100110000
3201101120020211
4213103330300
510114232303
61004513504
7153410455
oct47237460
921346224
1010305328
1158a9600
12354b894
13219a837
14152382c
15d8866d
hex9d3f30

10305328 has 30 divisors (see below), whose sum is σ = 21950852. Its totient is φ = 4683360.

The previous prime is 10305301. The next prime is 10305341. The reversal of 10305328 is 82350301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10305299 and 10305308.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 726 + ... + 4597.

Almost surely, 210305328 is an apocalyptic number.

It is an amenable number.

10305328 is an abundant number, since it is smaller than the sum of its proper divisors (11645524).

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

10305328 is a wasteful number, since it uses less digits than its factorization.

10305328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10305328 is about 3210.1912715600. The cubic root of 10305328 is about 217.6142210645.

Adding to 10305328 its reverse (82350301), we get a palindrome (92655629).

The spelling of 10305328 in words is "ten million, three hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 5323 10646 21292 42584 58553 85168 117106 234212 468424 644083 936848 1288166 2576332 5152664 10305328