Base | Representation |
---|---|
bin | 101110011101… |
… | …111100100000 |
3 | 211220212120112 |
4 | 232131330200 |
5 | 11104300110 |
6 | 1113030452 |
7 | 205352636 |
oct | 56357440 |
9 | 24825515 |
10 | 12181280 |
11 | 696aa81 |
12 | 40b5428 |
13 | 26a6677 |
14 | 1891356 |
15 | 1109405 |
hex | b9df20 |
12181280 has 48 divisors (see below), whose sum is σ = 30300480. Its totient is φ = 4614912.
The previous prime is 12181271. The next prime is 12181289. The reversal of 12181280 is 8218121.
12181280 = T100 + T101 + ... + T419.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (12181271) and next prime (12181289).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12181289) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037 + ... + 5043.
It is an arithmetic number, because the mean of its divisors is an integer number (631260).
Almost surely, 212181280 is an apocalyptic number.
12181280 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 12181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150240).
12181280 is an abundant number, since it is smaller than the sum of its proper divisors (18119200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12181280 is a wasteful number, since it uses less digits than its factorization.
12181280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4041 (or 4033 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 23.
The square root of 12181280 is about 3490.1690503470. The cubic root of 12181280 is about 230.0899459167.
The spelling of 12181280 in words is "twelve million, one hundred eighty-one thousand, two hundred eighty".
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