Search a number
-
+
10209164 = 227418893
BaseRepresentation
bin100110111100…
…011110001100
3201012200100012
4212330132030
510103143124
61002452352
7152530220
oct46743614
921180305
1010209164
115843329
1235040b8
132165b34
1414da780
15d69e0e
hex9bc78c

10209164 has 24 divisors (see below), whose sum is σ = 20918688. Its totient is φ = 4268160.

The previous prime is 10209127. The next prime is 10209169. The reversal of 10209164 is 46190201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10209169) 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 7 ways as a sum of consecutive naturals, for example, 3299 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (871612).

Almost surely, 210209164 is an apocalyptic number.

10209164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10209164 is an abundant number, since it is smaller than the sum of its proper divisors (10709524).

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

10209164 is a wasteful number, since it uses less digits than its factorization.

10209164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10209164 is about 3195.1782422895. The cubic root of 10209164 is about 216.9352167747.

Adding to 10209164 its reverse (46190201), we get a palindrome (56399365).

The spelling of 10209164 in words is "ten million, two hundred nine thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 8893 17786 35572 62251 124502 249004 364613 729226 1458452 2552291 5104582 10209164