Search a number
-
+
9840896 = 28132957
BaseRepresentation
bin100101100010…
…100100000000
3200111222011122
4211202210000
510004402041
6550531412
7146434442
oct45424400
920458148
109840896
11561167a
123366b68
132067320
141442492
15ce5c4b
hex962900

9840896 has 36 divisors (see below), whose sum is σ = 21161532. Its totient is φ = 4540416.

The previous prime is 9840869. The next prime is 9840899. The reversal of 9840896 is 6980489.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 8202496 = 1280^2 + 2864^2 .

It is not an unprimeable number, because it can be changed into a prime (9840899) 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, 1850 + ... + 4806.

Almost surely, 29840896 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 9840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580766).

9840896 is an abundant number, since it is smaller than the sum of its proper divisors (11320636).

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

9840896 is a wasteful number, since it uses less digits than its factorization.

9840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 9840896 is about 3137.0202422044. The cubic root of 9840896 is about 214.2947578829.

The spelling of 9840896 in words is "nine million, eight hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 2957 3328 5914 11828 23656 38441 47312 76882 94624 153764 189248 307528 378496 615056 756992 1230112 2460224 4920448 9840896