Search a number
-
+
9709968 = 243202291
BaseRepresentation
bin100101000010…
…100110010000
3200021022120110
4211002212100
54441204333
6544041320
7145350642
oct45024620
920238513
109709968
115532274
123303240
13201c858
14140a892
15cbc063
hex942990

9709968 has 20 divisors (see below), whose sum is σ = 25084208. Its totient is φ = 3236640.

The previous prime is 9709963. The next prime is 9709993. The reversal of 9709968 is 8699079.

It is a happy number.

It is a super-2 number, since 2×97099682 = 188566957122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 202291 = 9709968 / (9 + 7 + 0 + 9 + 9 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (9709961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101098 + ... + 101193.

Almost surely, 29709968 is an apocalyptic number.

It is an amenable number.

9709968 is an abundant number, since it is smaller than the sum of its proper divisors (15374240).

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

9709968 is a wasteful number, since it uses less digits than its factorization.

9709968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202302 (or 202296 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9709968 is about 3116.0821555280. The cubic root of 9709968 is about 213.3401516918.

The spelling of 9709968 in words is "nine million, seven hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 202291 404582 606873 809164 1213746 1618328 2427492 3236656 4854984 9709968