Search a number
-
+
10198468 = 227261853
BaseRepresentation
bin100110111001…
…110111000100
3201012010200001
4212321313010
510102322333
61002331044
7152454100
oct46716704
921163601
1010198468
115836295
1234b9a84
132160cc7
1414d6900
15d66b7d
hex9b9dc4

10198468 has 36 divisors (see below), whose sum is σ = 21126252. Its totient is φ = 4294080.

The previous prime is 10198457. The next prime is 10198477. The reversal of 10198468 is 86489101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 9746884 = 672^2 + 3122^2 .

It is an unprimeable number.

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, 11530 + ... + 12382.

Almost surely, 210198468 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 10198468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563126).

10198468 is an abundant number, since it is smaller than the sum of its proper divisors (10927784).

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

10198468 is a wasteful number, since it uses less digits than its factorization.

10198468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 10198468 is about 3193.5040316242. The cubic root of 10198468 is about 216.8594302924.

The spelling of 10198468 in words is "ten million, one hundred ninety-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 853 854 1706 1708 2989 3412 5971 5978 11942 11956 23884 41797 52033 83594 104066 167188 208132 364231 728462 1456924 2549617 5099234 10198468