Base | Representation |
---|---|
bin | 101110001011… |
… | …000000110000 |
3 | 211202221012020 |
4 | 232023000300 |
5 | 11044304403 |
6 | 1111231440 |
7 | 204610560 |
oct | 56130060 |
9 | 24687166 |
10 | 12103728 |
11 | 691778a |
12 | 4078580 |
13 | 267a290 |
14 | 1870da0 |
15 | 10e1453 |
hex | b8b030 |
12103728 has 160 divisors (see below), whose sum is σ = 40997376. Its totient is φ = 2985984.
The previous prime is 12103709. The next prime is 12103747. The reversal of 12103728 is 82730121.
It is an interprime number because it is at equal distance from previous prime (12103709) and next prime (12103747).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 12103698 and 12103707.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74175 + ... + 74337.
Almost surely, 212103728 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688).
12103728 is an abundant number, since it is smaller than the sum of its proper divisors (28893648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12103728 is a wasteful number, since it uses less digits than its factorization.
12103728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 211 (or 205 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 24.
The square root of 12103728 is about 3479.0412472404. The cubic root of 12103728 is about 229.6006175446.
Adding to 12103728 its reverse (82730121), we get a palindrome (94833849).
It can be divided in two parts, 12 and 103728, that added together give a triangular number (103740 = T455).
The spelling of 12103728 in words is "twelve million, one hundred three thousand, seven hundred twenty-eight".
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