Base | Representation |
---|---|
bin | 101110000001… |
… | …110110010000 |
3 | 211201000201000 |
4 | 232001312100 |
5 | 11042104232 |
6 | 1110342000 |
7 | 204363255 |
oct | 56016620 |
9 | 24630630 |
10 | 12066192 |
11 | 68a1566 |
12 | 405a900 |
13 | 2666178 |
14 | 186142c |
15 | 10d527c |
hex | b81d90 |
12066192 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3594240.
The previous prime is 12066179. The next prime is 12066193. The reversal of 12066192 is 29166021.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12066193) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227638 + ... + 227690.
It is an arithmetic number, because the mean of its divisors is an integer number (241056).
Almost surely, 212066192 is an apocalyptic number.
12066192 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 12066192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).
12066192 is an abundant number, since it is smaller than the sum of its proper divisors (26502768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12066192 is a wasteful number, since it uses less digits than its factorization.
12066192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 118 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 12066192 is about 3473.6424686487. The cubic root of 12066192 is about 229.3630264720.
The spelling of 12066192 in words is "twelve million, sixty-six thousand, one hundred ninety-two".
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