Base | Representation |
---|---|
bin | 101111000011… |
… | …111100000100 |
3 | 212012210001020 |
4 | 233003330010 |
5 | 11124240100 |
6 | 1120231140 |
7 | 206601432 |
oct | 57037404 |
9 | 25183036 |
10 | 12336900 |
11 | 6a66994 |
12 | 416b4b0 |
13 | 272c454 |
14 | 18d1d52 |
15 | 113a5a0 |
hex | bc3f04 |
12336900 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 2969600.
The previous prime is 12336893. The next prime is 12336923. The reversal of 12336900 is 963321.
12336900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×123369002 = 304398203220000, which contains 22 as substring.
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, 209071 + ... + 209129.
It is an arithmetic number, because the mean of its divisors is an integer number (273420).
Almost surely, 212336900 is an apocalyptic number.
12336900 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 12336900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).
12336900 is an abundant number, since it is smaller than the sum of its proper divisors (27035580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12336900 is a wasteful number, since it uses less digits than its factorization.
12336900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 134 (or 127 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 24.
The square root of 12336900 is about 3512.3923471047. The cubic root of 12336900 is about 231.0656285483.
The spelling of 12336900 in words is "twelve million, three hundred thirty-six thousand, nine hundred".
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