Search a number
-
+
10231808 = 2131249
BaseRepresentation
bin100111000010…
…000000000000
3201020211101212
4213002000000
510104404213
61003145252
7152653226
oct47020000
921224355
1010231808
115859344
123515228
132173232
141504b16
15d719a8
hex9c2000

10231808 has 28 divisors (see below), whose sum is σ = 20478750. Its totient is φ = 5111808.

The previous prime is 10231801. The next prime is 10231813. The reversal of 10231808 is 80813201.

It can be written as a sum of positive squares in only one way, i.e., 9048064 + 1183744 = 3008^2 + 1088^2 .

It is not an unprimeable number, because it can be changed into a prime (10231801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7568 + ... + 8816.

Almost surely, 210231808 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 10231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239375).

10231808 is an abundant number, since it is smaller than the sum of its proper divisors (10246942).

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

10231808 is an frugal number, since it uses more digits than its factorization.

10231808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10231808 is about 3198.7197438975. The cubic root of 10231808 is about 217.0954863029.

The spelling of 10231808 in words is "ten million, two hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1249 2048 2498 4096 4996 8192 9992 19984 39968 79936 159872 319744 639488 1278976 2557952 5115904 10231808