Base | Representation |
---|---|
bin | 101111100111… |
… | …010111010000 |
3 | 212111011002022 |
4 | 233213113100 |
5 | 11143411000 |
6 | 1123311012 |
7 | 211044446 |
oct | 57472720 |
9 | 25434068 |
10 | 12482000 |
11 | 7055a03 |
12 | 421b468 |
13 | 27804cb |
14 | 192cb96 |
15 | 1168585 |
hex | be75d0 |
12482000 has 60 divisors (see below), whose sum is σ = 30568356. Its totient is φ = 4929600.
The previous prime is 12481991. The next prime is 12482009. The reversal of 12482000 is 28421.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (12481991) and next prime (12482009).
It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 12082576 = 632^2 + 3476^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 12482000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12482009) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157961 + ... + 158039.
Almost surely, 212482000 is an apocalyptic number.
12482000 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 12482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284178).
12482000 is an abundant number, since it is smaller than the sum of its proper divisors (18086356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12482000 is an frugal number, since it uses more digits than its factorization.
12482000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 181 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
The square root of 12482000 is about 3532.9874044497. The cubic root of 12482000 is about 231.9679900347.
The spelling of 12482000 in words is "twelve million, four hundred eighty-two thousand".
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