Base | Representation |
---|---|
bin | 101110000010… |
… | …100001000000 |
3 | 211201011110100 |
4 | 232002201000 |
5 | 11042201203 |
6 | 1110402400 |
7 | 204404244 |
oct | 56024100 |
9 | 24634410 |
10 | 12068928 |
11 | 68a3623 |
12 | 4060400 |
13 | 26674a1 |
14 | 1862424 |
15 | 10d5ea3 |
hex | b82840 |
12068928 has 84 divisors (see below), whose sum is σ = 36137088. Its totient is φ = 3843840.
The previous prime is 12068921. The next prime is 12068941. The reversal of 12068928 is 82986021.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12068892 and 12068901.
It is not an unprimeable number, because it can be changed into a prime (12068921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12793 + ... + 13703.
Almost surely, 212068928 is an apocalyptic number.
12068928 is a gapful number since it is divisible by the number (18) 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 12068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).
12068928 is an abundant number, since it is smaller than the sum of its proper divisors (24068160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12068928 is a wasteful number, since it uses less digits than its factorization.
12068928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 952 (or 939 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 12068928 is about 3474.0362692407. The cubic root of 12068928 is about 229.3803611267.
It can be divided in two parts, 12068 and 928, that added together give a square (12996 = 1142).
The spelling of 12068928 in words is "twelve million, sixty-eight thousand, nine hundred twenty-eight".
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