Base | Representation |
---|---|
bin | 101110010100… |
… | …111000000100 |
3 | 211211222121200 |
4 | 232110320010 |
5 | 11102103012 |
6 | 1112142500 |
7 | 205136430 |
oct | 56247004 |
9 | 24758550 |
10 | 12144132 |
11 | 6945080 |
12 | 4097a30 |
13 | 26927a0 |
14 | 18819c0 |
15 | 10ed3dc |
hex | b94e04 |
12144132 has 144 divisors (see below), whose sum is σ = 41338752. Its totient is φ = 2903040.
The previous prime is 12144131. The next prime is 12144151. The reversal of 12144132 is 23144121.
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 not an unprimeable number, because it can be changed into a prime (12144131) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35868 + ... + 36204.
Almost surely, 212144132 is an apocalyptic number.
12144132 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 12144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669376).
12144132 is an abundant number, since it is smaller than the sum of its proper divisors (29194620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12144132 is a wasteful number, since it uses less digits than its factorization.
12144132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 378 (or 373 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 12144132 is about 3484.8431815506. The cubic root of 12144132 is about 229.8558138509.
Adding to 12144132 its reverse (23144121), we get a palindrome (35288253).
It can be divided in two parts, 121 and 44132, that added together give a triangular number (44253 = T297).
The spelling of 12144132 in words is "twelve million, one hundred forty-four thousand, one hundred thirty-two".
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