Search a number
-
+
9790160 = 245532309
BaseRepresentation
bin100101010110…
…001011010000
3200102101120112
4211112023100
510001241120
6545500452
7146133512
oct45261320
920371515
109790160
115587546
123341728
13204a1c3
14142bbb2
15cd5bc5
hex9562d0

9790160 has 40 divisors (see below), whose sum is σ = 23201640. Its totient is φ = 3840512.

The previous prime is 9790159. The next prime is 9790177. The reversal of 9790160 is 610979.

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 6492304 = 1816^2 + 2548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3086 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (580041).

Almost surely, 29790160 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 9790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600820).

9790160 is an abundant number, since it is smaller than the sum of its proper divisors (13411480).

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

9790160 is a wasteful number, since it uses less digits than its factorization.

9790160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 9790160 is about 3128.9231374388. The cubic root of 9790160 is about 213.9258484759.

The spelling of 9790160 in words is "nine million, seven hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2309 4240 4618 9236 11545 18472 23090 36944 46180 92360 122377 184720 244754 489508 611885 979016 1223770 1958032 2447540 4895080 9790160