Search a number
-
+
10098306 = 2321761541
BaseRepresentation
bin100110100001…
…011010000010
3201000001021100
4212201122002
510041121211
61000235230
7151556061
oct46413202
921001240
1010098306
115778009
12346bb16
13212753a
1414ac1d8
15d47156
hex9a1682

10098306 has 48 divisors (see below), whose sum is σ = 23590008. Its totient is φ = 3110400.

The previous prime is 10098269. The next prime is 10098313. The reversal of 10098306 is 60389001.

It can be written as a sum of positive squares in 4 ways, for example, as 6890625 + 3207681 = 2625^2 + 1791^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10098306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18396 + ... + 18936.

Almost surely, 210098306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795004).

10098306 is an abundant number, since it is smaller than the sum of its proper divisors (13491702).

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

10098306 is a wasteful number, since it uses less digits than its factorization.

10098306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10098306 is about 3177.7831895836. The cubic root of 10098306 is about 216.1471476769.

It can be divided in two parts, 10098 and 306, that added together give a square (10404 = 1022).

The spelling of 10098306 in words is "ten million, ninety-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 541 549 1037 1082 1098 1623 2074 3111 3246 4869 6222 9197 9333 9738 18394 18666 27591 33001 55182 66002 82773 99003 165546 198006 297009 561017 594018 1122034 1683051 3366102 5049153 10098306