Search a number
-
+
9904320 = 2632519181
BaseRepresentation
bin100101110010…
…000011000000
3200122012011200
4211302003000
510013414240
6552141200
7150120366
oct45620300
920565150
109904320
115655298
123397800
13208a15a
14145b636
15d09930
hex9720c0

9904320 has 168 divisors, whose sum is σ = 36057840. Its totient is φ = 2488320.

The previous prime is 9904313. The next prime is 9904331. The reversal of 9904320 is 234099.

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, 54630 + ... + 54810.

It is an arithmetic number, because the mean of its divisors is an integer number (214630).

Almost surely, 29904320 is an apocalyptic number.

9904320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028920).

9904320 is an abundant number, since it is smaller than the sum of its proper divisors (26153520).

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

9904320 is a wasteful number, since it uses less digits than its factorization.

9904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9904320 is about 3147.1129627009. The cubic root of 9904320 is about 214.7541447844.

The spelling of 9904320 in words is "nine million, nine hundred four thousand, three hundred twenty".