Search a number
-
+
10200869 = 72409509
BaseRepresentation
bin100110111010…
…011100100101
3201012020221222
4212322130211
510102411434
61002350125
7152464100
oct46723445
921166858
1010200869
115838078
1234bb345
132162123
1414d7737
15d6772e
hex9ba725

10200869 has 12 divisors (see below), whose sum is σ = 11918700. Its totient is φ = 8705088.

The previous prime is 10200859. The next prime is 10200877. The reversal of 10200869 is 96800201.

It can be written as a sum of positive squares in 2 ways, for example, as 8850625 + 1350244 = 2975^2 + 1162^2 .

It is not a de Polignac number, because 10200869 - 28 = 10200613 is a prime.

It is a super-2 number, since 2×102008692 = 208115456710322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200809) 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 11 ways as a sum of consecutive naturals, for example, 19787 + ... + 20295.

It is an arithmetic number, because the mean of its divisors is an integer number (993225).

Almost surely, 210200869 is an apocalyptic number.

It is an amenable number.

10200869 is a deficient number, since it is larger than the sum of its proper divisors (1717831).

10200869 is an equidigital number, since it uses as much as digits as its factorization.

10200869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10200869 is about 3193.8799288640. The cubic root of 10200869 is about 216.8764471828.

The spelling of 10200869 in words is "ten million, two hundred thousand, eight hundred sixty-nine".

Divisors: 1 7 49 409 509 2863 3563 20041 24941 208181 1457267 10200869