Base | Representation |
---|---|
bin | 101111011011… |
… | …100100010000 |
3 | 212101200210200 |
4 | 233123210100 |
5 | 11140334210 |
6 | 1122255200 |
7 | 210453540 |
oct | 57334420 |
9 | 25350720 |
10 | 12433680 |
11 | 7022676 |
12 | 41b7500 |
13 | 276450c |
14 | 1919320 |
15 | 11590c0 |
hex | bdb910 |
12433680 has 120 divisors (see below), whose sum is σ = 47740992. Its totient is φ = 2840832.
The previous prime is 12433627. The next prime is 12433693. The reversal of 12433680 is 8633421.
It is a happy number.
12433680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807 + ... + 6273.
Almost surely, 212433680 is an apocalyptic number.
12433680 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 12433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870496).
12433680 is an abundant number, since it is smaller than the sum of its proper divisors (35307312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12433680 is a wasteful number, since it uses less digits than its factorization.
12433680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 12433680 is about 3526.1423680844. The cubic root of 12433680 is about 231.6682734277.
The spelling of 12433680 in words is "twelve million, four hundred thirty-three thousand, six hundred eighty".
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