Search a number
-
+
10198321 = 72208129
BaseRepresentation
bin100110111001…
…110100110001
3201012010110121
4212321310301
510102321241
61002330241
7152453500
oct46716461
921163417
1010198321
115836171
1234b9981
132160c13
1414d6837
15d66ad1
hex9b9d31

10198321 has 6 divisors (see below), whose sum is σ = 11863410. Its totient is φ = 8741376.

The previous prime is 10198301. The next prime is 10198337. The reversal of 10198321 is 12389101.

It can be written as a sum of positive squares in only one way, i.e., 5934096 + 4264225 = 2436^2 + 2065^2 .

It is not a de Polignac number, because 10198321 - 213 = 10190129 is a prime.

It is a super-3 number, since 3×101983213 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10198301) 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 5 ways as a sum of consecutive naturals, for example, 104016 + ... + 104113.

It is an arithmetic number, because the mean of its divisors is an integer number (1977235).

Almost surely, 210198321 is an apocalyptic number.

It is an amenable number.

10198321 is a deficient number, since it is larger than the sum of its proper divisors (1665089).

10198321 is an equidigital number, since it uses as much as digits as its factorization.

10198321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208143 (or 208136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 10198321 is about 3193.4810160701. The cubic root of 10198321 is about 216.8583883552.

The spelling of 10198321 in words is "ten million, one hundred ninety-eight thousand, three hundred twenty-one".

Divisors: 1 7 49 208129 1456903 10198321