Search a number
-
+
10320468 = 2232361613
BaseRepresentation
bin100111010111…
…101001010100
3201102100000120
4213113221110
510120223333
61005111540
7153502554
oct47275124
921370016
1010320468
115909a14
1235585b0
1321a46b2
141529164
15d8cdb3
hex9d7a54

10320468 has 48 divisors (see below), whose sum is σ = 25581696. Its totient is φ = 3231360.

The previous prime is 10320467. The next prime is 10320511. The reversal of 10320468 is 86402301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320461) 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, 16530 + ... + 17142.

It is an arithmetic number, because the mean of its divisors is an integer number (532952).

Almost surely, 210320468 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 10320468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790848).

10320468 is an abundant number, since it is smaller than the sum of its proper divisors (15261228).

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

10320468 is a wasteful number, since it uses less digits than its factorization.

10320468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10320468 is about 3212.5485210344. The cubic root of 10320468 is about 217.7207377185.

Adding to 10320468 its reverse (86402301), we get a palindrome (96722769).

The spelling of 10320468 in words is "ten million, three hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 613 732 1226 1403 1839 2452 2806 3678 4209 5612 7356 8418 14099 16836 28198 37393 42297 56396 74786 84594 112179 149572 169188 224358 448716 860039 1720078 2580117 3440156 5160234 10320468