Search a number
-
+
10009060 = 2252917257
BaseRepresentation
bin100110001011…
…100111100100
3200211111211221
4212023213210
510030242220
6554310124
7151034635
oct46134744
920744757
1010009060
115716a56
123428344
1320c5a29
14148788c
15d2a9aa
hex98b9e4

10009060 has 24 divisors (see below), whose sum is σ = 21745080. Its totient is φ = 3865344.

The previous prime is 10009049. The next prime is 10009061. The reversal of 10009060 is 6090001.

10009060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 9998244 = 104^2 + 3162^2 .

It is not an unprimeable number, because it can be changed into a prime (10009061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8049 + ... + 9208.

It is an arithmetic number, because the mean of its divisors is an integer number (906045).

Almost surely, 210009060 is an apocalyptic number.

10009060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009060 is an abundant number, since it is smaller than the sum of its proper divisors (11736020).

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

10009060 is a wasteful number, since it uses less digits than its factorization.

10009060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17295 (or 17293 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10009060 is about 3163.7098476314. The cubic root of 10009060 is about 215.5085132914.

Adding to 10009060 its reverse (6090001), we get a palindrome (16099061).

The spelling of 10009060 in words is "ten million, nine thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17257 34514 69028 86285 172570 345140 500453 1000906 2001812 2502265 5004530 10009060