Base | Representation |
---|---|
bin | 101111100011… |
… | …110001010000 |
3 | 212110101220010 |
4 | 233203301100 |
5 | 11142423110 |
6 | 1123114520 |
7 | 210653520 |
oct | 57436120 |
9 | 25411803 |
10 | 12467280 |
11 | 7045941 |
12 | 4212a40 |
13 | 27768b7 |
14 | 1927680 |
15 | 1164020 |
hex | be3c50 |
12467280 has 160 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 2764800.
The previous prime is 12467269. The next prime is 12467297. The reversal of 12467280 is 8276421.
12467280 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
12467280 is strictly pandigital in base 8.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68790 + ... + 68970.
Almost surely, 212467280 is an apocalyptic number.
12467280 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 12467280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).
12467280 is an abundant number, since it is smaller than the sum of its proper divisors (33029808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12467280 is a wasteful number, since it uses less digits than its factorization.
12467280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 245 (or 239 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 30.
The square root of 12467280 is about 3530.9035670774. The cubic root of 12467280 is about 231.8767676890.
The spelling of 12467280 in words is "twelve million, four hundred sixty-seven thousand, two hundred eighty".
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