Base | Representation |
---|---|
bin | 101101110001… |
… | …110000101100 |
3 | 211120200022120 |
4 | 231301300230 |
5 | 11033002200 |
6 | 1105112540 |
7 | 204000204 |
oct | 55616054 |
9 | 24520276 |
10 | 12000300 |
11 | 6857004 |
12 | 4028750 |
13 | 2642190 |
14 | 1845404 |
15 | 10c09a0 |
hex | b71c2c |
12000300 has 144 divisors (see below), whose sum is σ = 39809952. Its totient is φ = 2764800.
The previous prime is 12000281. The next prime is 12000353. The reversal of 12000300 is 300021.
12000300 is digitally balanced in base 2, because in such base 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 (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66210 + ... + 66390.
It is an arithmetic number, because the mean of its divisors is an integer number (276458).
Almost surely, 212000300 is an apocalyptic number.
12000300 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 12000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904976).
12000300 is an abundant number, since it is smaller than the sum of its proper divisors (27809652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12000300 is a wasteful number, since it uses less digits than its factorization.
12000300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 228 (or 221 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 12000300 is about 3464.1449161373. The cubic root of 12000300 is about 228.9447563518.
Adding to 12000300 its reverse (300021), we get a palindrome (12300321).
The spelling of 12000300 in words is "twelve million, three hundred", and thus it is an aban number.
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