Base | Representation |
---|---|
bin | 101110100010… |
… | …000111110000 |
3 | 211221202001000 |
4 | 232202013300 |
5 | 11110322014 |
6 | 1113242000 |
7 | 205453542 |
oct | 56420760 |
9 | 24852030 |
10 | 12198384 |
11 | 6981910 |
12 | 4103300 |
13 | 26b13a3 |
14 | 1897692 |
15 | 110e509 |
hex | ba21f0 |
12198384 has 160 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3456000.
The previous prime is 12198383. The next prime is 12198391. The reversal of 12198384 is 48389121.
It is a super-2 number, since 2×121983842 = 297601144422912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12198383) 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 31 ways as a sum of consecutive naturals, for example, 80709 + ... + 80859.
It is an arithmetic number, because the mean of its divisors is an integer number (254448).
Almost surely, 212198384 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 12198384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).
12198384 is an abundant number, since it is smaller than the sum of its proper divisors (28513296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12198384 is a wasteful number, since it uses less digits than its factorization.
12198384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 196 (or 184 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 12198384 is about 3492.6185019266. The cubic root of 12198384 is about 230.1975869834.
The spelling of 12198384 in words is "twelve million, one hundred ninety-eight thousand, three hundred eighty-four".
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