Search a number
-
+
11442132 = 223213231063
BaseRepresentation
bin101011101001…
…011111010100
3210112022122200
4223221133110
510412122012
61045124500
7166153662
oct53513724
923468580
1011442132
116505709
1239b9730
1324a80c0
14173bc32
1510103dc
hexae97d4

11442132 has 72 divisors (see below), whose sum is σ = 32532864. Its totient is φ = 3364416.

The previous prime is 11442127. The next prime is 11442143. The reversal of 11442132 is 23124411.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10233 + ... + 11295.

Almost surely, 211442132 is an apocalyptic number.

11442132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266432).

11442132 is an abundant number, since it is smaller than the sum of its proper divisors (21090732).

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

11442132 is a wasteful number, since it uses less digits than its factorization.

11442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11442132 is about 3382.6220598819. The cubic root of 11442132 is about 225.3386308369.

Adding to 11442132 its reverse (23124411), we get a palindrome (34566543).

The spelling of 11442132 in words is "eleven million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1063 1196 1794 2126 2691 3189 3588 4252 5382 6378 9567 10764 12756 13819 19134 24449 27638 38268 41457 48898 55276 73347 82914 97796 124371 146694 165828 220041 248742 293388 317837 440082 497484 635674 880164 953511 1271348 1907022 2860533 3814044 5721066 11442132