Base | Representation |
---|---|
bin | 101110011101… |
… | …101011100000 |
3 | 211220211002020 |
4 | 232131223200 |
5 | 11104231232 |
6 | 1113021440 |
7 | 205346523 |
oct | 56355340 |
9 | 24824066 |
10 | 12180192 |
11 | 696a182 |
12 | 40b4880 |
13 | 26a601b |
14 | 1890bba |
15 | 1108e2c |
hex | b9dae0 |
12180192 has 48 divisors (see below), whose sum is σ = 32441472. Its totient is φ = 4000640.
The previous prime is 12180187. The next prime is 12180199. The reversal of 12180192 is 29108121.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12180199) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 5923 + ... + 7709.
It is an arithmetic number, because the mean of its divisors is an integer number (675864).
Almost surely, 212180192 is an apocalyptic number.
12180192 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 12180192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220736).
12180192 is an abundant number, since it is smaller than the sum of its proper divisors (20261280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12180192 is a wasteful number, since it uses less digits than its factorization.
12180192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 24.
The square root of 12180192 is about 3490.0131804909. The cubic root of 12180192 is about 230.0830953692.
The spelling of 12180192 in words is "twelve million, one hundred eighty thousand, one hundred ninety-two".
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