Base | Representation |
---|---|
bin | 101110001011… |
… | …000101000000 |
3 | 211202221120022 |
4 | 232023011000 |
5 | 11044312000 |
6 | 1111233012 |
7 | 204611426 |
oct | 56130500 |
9 | 24687508 |
10 | 12104000 |
11 | 6917a07 |
12 | 4078768 |
13 | 267a43c |
14 | 1871116 |
15 | 10e1585 |
hex | b8b140 |
12104000 has 112 divisors (see below), whose sum is σ = 32095440. Its totient is φ = 4505600.
The previous prime is 12103999. The next prime is 12104021. The reversal of 12104000 is 40121.
It can be written as a sum of positive squares in 8 ways, for example, as 4129024 + 7974976 = 2032^2 + 2824^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135956 + ... + 136044.
Almost surely, 212104000 is an apocalyptic number.
12104000 is a gapful number since it is divisible by the number (10) 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 12104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047720).
12104000 is an abundant number, since it is smaller than the sum of its proper divisors (19991440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12104000 is an equidigital number, since it uses as much as digits as its factorization.
12104000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 133 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 12104000 is about 3479.0803382503. The cubic root of 12104000 is about 229.6023374252.
Adding to 12104000 its reverse (40121), we get a palindrome (12144121).
It can be divided in two parts, 1210 and 4000, that multiplied together give a square (4840000 = 22002).
The spelling of 12104000 in words is "twelve million, one hundred four thousand".
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