Search a number
-
+
9804900 = 22352722329
BaseRepresentation
bin100101011001…
…110001100100
3200110010210110
4211121301210
510002224100
6550053020
7146224500
oct45316144
920403713
109804900
115597626
12334a170
132053b21
141433300
15cda250
hex959c64

9804900 has 216 divisors, whose sum is σ = 35622720. Its totient is φ = 2069760.

The previous prime is 9804881. The next prime is 9804901. The reversal of 9804900 is 94089.

It is a super-2 number, since 2×98049002 = 192272128020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9804901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338086 + ... + 338114.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 29804900 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 9804900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

9804900 is an abundant number, since it is smaller than the sum of its proper divisors (25817820).

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

9804900 is a wasteful number, since it uses less digits than its factorization.

9804900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9804900 is about 3131.2776944883. The cubic root of 9804900 is about 214.0331564196.

Adding to 9804900 its reverse (94089), we get a palindrome (9898989).

The spelling of 9804900 in words is "nine million, eight hundred four thousand, nine hundred".