Base | Representation |
---|---|
bin | 101110011111… |
… | …110100011000 |
3 | 211221021002200 |
4 | 232133310120 |
5 | 11110021302 |
6 | 1113130200 |
7 | 205414206 |
oct | 56376430 |
9 | 24837080 |
10 | 12188952 |
11 | 6975816 |
12 | 40b9960 |
13 | 26a9cc9 |
14 | 1894076 |
15 | 110b81c |
hex | b9fd18 |
12188952 has 96 divisors (see below), whose sum is σ = 35143680. Its totient is φ = 3810240.
The previous prime is 12188951. The next prime is 12188999. The reversal of 12188952 is 25988121.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12188951) 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, 95913 + ... + 96039.
It is an arithmetic number, because the mean of its divisors is an integer number (366080).
Almost surely, 212188952 is an apocalyptic number.
12188952 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 12188952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571840).
12188952 is an abundant number, since it is smaller than the sum of its proper divisors (22954728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12188952 is a wasteful number, since it uses less digits than its factorization.
12188952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 213 (or 206 counting only the distinct ones).
The product of its digits is 11520, while the sum is 36.
The square root of 12188952 is about 3491.2679645080. The cubic root of 12188952 is about 230.1382407757.
The spelling of 12188952 in words is "twelve million, one hundred eighty-eight thousand, nine hundred fifty-two".
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