Base | Representation |
---|---|
bin | 101111000001… |
… | …110010010000 |
3 | 212012022221120 |
4 | 233001302100 |
5 | 11123444310 |
6 | 1120122240 |
7 | 206533632 |
oct | 57016220 |
9 | 25168846 |
10 | 12328080 |
11 | 6a602a6 |
12 | 4166380 |
13 | 272842b |
14 | 18cca52 |
15 | 1137b70 |
hex | bc1c90 |
12328080 has 80 divisors (see below), whose sum is σ = 39473664. Its totient is φ = 3179520.
The previous prime is 12328079. The next prime is 12328087. The reversal of 12328080 is 8082321.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 12328080.
It is not an unprimeable number, because it can be changed into a prime (12328087) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6612 + ... + 8268.
Almost surely, 212328080 is an apocalyptic number.
12328080 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 12328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736832).
12328080 is an abundant number, since it is smaller than the sum of its proper divisors (27145584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12328080 is a wasteful number, since it uses less digits than its factorization.
12328080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 12328080 is about 3511.1365681215. The cubic root of 12328080 is about 231.0105502949.
It can be divided in two parts, 123 and 28080, that added together give a triangular number (28203 = T237).
The spelling of 12328080 in words is "twelve million, three hundred twenty-eight thousand, eighty".
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