Search a number
-
+
9613116 = 2232713761
BaseRepresentation
bin100100101010…
…111100111100
3200002101201100
4210222330330
54430104431
6542013100
7144465402
oct44527474
920071640
109613116
115476527
123277190
131cb7746
1413c3472
15c9d4e6
hex92af3c

9613116 has 36 divisors (see below), whose sum is σ = 24648624. Its totient is φ = 3158400.

The previous prime is 9613111. The next prime is 9613127. The reversal of 9613116 is 6113169.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9613116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9613111) 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 11 ways as a sum of consecutive naturals, for example, 676 + ... + 4436.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 29613116 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 9613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312).

9613116 is an abundant number, since it is smaller than the sum of its proper divisors (15035508).

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

9613116 is a wasteful number, since it uses less digits than its factorization.

9613116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3837 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 9613116 is about 3100.5025399119. The cubic root of 9613116 is about 212.6284602746.

The spelling of 9613116 in words is "nine million, six hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 3761 7522 11283 15044 22566 33849 45132 67698 135396 267031 534062 801093 1068124 1602186 2403279 3204372 4806558 9613116