Search a number
-
+
9189840132 = 22321122109697
BaseRepresentation
bin10001000111100000…
…11101010100000100
3212201110022020201100
420203300131110010
5122310044341012
64115522100100
7443506231554
oct104360352404
925643266640
109189840132
113996474a00
1219457aa630
13b35bbb035
14632711164
1538bbca8dc
hex223c1d504

9189840132 has 54 divisors (see below), whose sum is σ = 25533674894. Its totient is φ = 2784798720.

The previous prime is 9189840053. The next prime is 9189840157. The reversal of 9189840132 is 2310489819.

It can be written as a sum of positive squares in only one way, i.e., 7181545536 + 2008294596 = 84744^2 + 44814^2 .

It is a super-3 number, since 3×91898401323 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1050493 + ... + 1059204.

Almost surely, 29189840132 is an apocalyptic number.

It is an amenable number.

9189840132 is an abundant number, since it is smaller than the sum of its proper divisors (16343834762).

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

9189840132 is a wasteful number, since it uses less digits than its factorization.

9189840132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109729 (or 2109713 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9189840132 is about 95863.6538631822. The cubic root of 9189840132 is about 2094.6074898006.

The spelling of 9189840132 in words is "nine billion, one hundred eighty-nine million, eight hundred forty thousand, one hundred thirty-two".

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 4356 2109697 4219394 6329091 8438788 12658182 18987273 23206667 25316364 37974546 46413334 69620001 75949092 92826668 139240002 208860003 255273337 278480004 417720006 510546674 765820011 835440012 1021093348 1531640022 2297460033 3063280044 4594920066 9189840132