Base | Representation |
---|---|
bin | 100111111011… |
… | …101111101000 |
3 | 201200211211212 |
4 | 213323233220 |
5 | 10134441303 |
6 | 1012212252 |
7 | 154656623 |
oct | 47735750 |
9 | 21624755 |
10 | 10468328 |
11 | 5a00012 |
12 | 360a088 |
13 | 2226aa0 |
14 | 1566dba |
15 | dbbad8 |
hex | 9fbbe8 |
10468328 has 64 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 4377600.
The previous prime is 10468327. The next prime is 10468331. The reversal of 10468328 is 82386401.
It is a super-2 number, since 2×104683282 = 219171782231168, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10468294 and 10468303.
It is not an unprimeable number, because it can be changed into a prime (10468321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54713 + ... + 54903.
It is an arithmetic number, because the mean of its divisors is an integer number (362880).
Almost surely, 210468328 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 10468328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).
10468328 is an abundant number, since it is smaller than the sum of its proper divisors (12755992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10468328 is a wasteful number, since it uses less digits than its factorization.
10468328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 258 (or 254 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 32.
The square root of 10468328 is about 3235.4795625996. The cubic root of 10468328 is about 218.7555636136.
The spelling of 10468328 in words is "ten million, four hundred sixty-eight thousand, three hundred twenty-eight".
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