Search a number
-
+
9662166 = 237472
BaseRepresentation
bin100100110110…
…111011010110
3200011220000000
4210312323112
54433142131
6543032130
7145061403
oct44667326
920156000
109662166
1154aa368
12329b646
132003b77
1413d72aa
15cacce6
hex936ed6

9662166 has 48 divisors (see below), whose sum is σ = 22208880. Its totient is φ = 3152196.

The previous prime is 9662161. The next prime is 9662179. The reversal of 9662166 is 6612669.

It is a happy number.

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 9662166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9662161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205555 + ... + 205601.

It is an arithmetic number, because the mean of its divisors is an integer number (462685).

Almost surely, 29662166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9662166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104440).

9662166 is an abundant number, since it is smaller than the sum of its proper divisors (12546714).

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

9662166 is an frugal number, since it uses more digits than its factorization.

9662166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9662166 is about 3108.4024835919. The cubic root of 9662166 is about 212.9894856940.

The spelling of 9662166 in words is "nine million, six hundred sixty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 729 846 1269 1458 2187 2209 2538 3807 4374 4418 6627 7614 11421 13254 19881 22842 34263 39762 59643 68526 102789 119286 178929 205578 357858 536787 1073574 1610361 3220722 4831083 9662166