Search a number
-
+
9911106 = 233533463
BaseRepresentation
bin100101110011…
…101101000010
3200122112111000
4211303231002
510014123411
6552232430
7150146232
oct45635502
920575430
109911106
11565a3a7
12339b716
13209027a
14145dcc2
15d0b956
hex973b42

9911106 has 32 divisors (see below), whose sum is σ = 22446720. Its totient is φ = 3240432.

The previous prime is 9911101. The next prime is 9911123. The reversal of 9911106 is 6011199.

9911106 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9911106.

It is not an unprimeable number, because it can be changed into a prime (9911101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (701460).

Almost surely, 29911106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9911106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223360).

9911106 is an abundant number, since it is smaller than the sum of its proper divisors (12535614).

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

9911106 is a wasteful number, since it uses less digits than its factorization.

9911106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 9911106 is about 3148.1909090778. The cubic root of 9911106 is about 214.8031802532.

The spelling of 9911106 in words is "nine million, nine hundred eleven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 3463 6926 10389 20778 31167 62334 93501 183539 187002 367078 550617 1101234 1651851 3303702 4955553 9911106