Search a number
-
+
9883764 = 22321122269
BaseRepresentation
bin100101101101…
…000001110100
3200121010222100
4211231001310
510012240024
6551502100
7150003432
oct45550164
920533870
109883764
115640900
123387930
1320809a7
141453d52
15d037c9
hex96d074

9883764 has 54 divisors (see below), whose sum is σ = 27473810. Its totient is φ = 2993760.

The previous prime is 9883763. The next prime is 9883787. The reversal of 9883764 is 4673889.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5963364 + 3920400 = 2442^2 + 1980^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9883763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3222 + ... + 5490.

Almost surely, 29883764 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 9883764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736905).

9883764 is an abundant number, since it is smaller than the sum of its proper divisors (17590046).

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

9883764 is a wasteful number, since it uses less digits than its factorization.

9883764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2285 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 9883764 is about 3143.8454160470. The cubic root of 9883764 is about 214.6054708134.

The spelling of 9883764 in words is "nine million, eight hundred eighty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2269 4356 4538 6807 9076 13614 20421 24959 27228 40842 49918 74877 81684 99836 149754 224631 274549 299508 449262 549098 823647 898524 1098196 1647294 2470941 3294588 4941882 9883764