Base | Representation |
---|---|
bin | 100111010011… |
… | …101001110000 |
3 | 201101111120210 |
4 | 213103221300 |
5 | 10114212422 |
6 | 1004504120 |
7 | 153404100 |
oct | 47235160 |
9 | 21344523 |
10 | 10304112 |
11 | 58a86a5 |
12 | 354b040 |
13 | 219a110 |
14 | 1523200 |
15 | d8810c |
hex | 9d3a70 |
10304112 has 120 divisors (see below), whose sum is σ = 33445776. Its totient is φ = 2709504.
The previous prime is 10304111. The next prime is 10304117. The reversal of 10304112 is 21140301.
It is a happy number.
10304112 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
10304112 is strictly pandigital in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10304111) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30408 + ... + 30744.
Almost surely, 210304112 is an apocalyptic number.
10304112 is a gapful number since it is divisible by the number (12) 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 10304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722888).
10304112 is an abundant number, since it is smaller than the sum of its proper divisors (23141664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10304112 is a wasteful number, since it uses less digits than its factorization.
10304112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 375 (or 362 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10304112 is about 3210.0018691583. The cubic root of 10304112 is about 217.6056614372.
Subtracting from 10304112 its sum of digits (12), we obtain a square (10304100 = 32102).
Adding to 10304112 its reverse (21140301), we get a palindrome (31444413).
The spelling of 10304112 in words is "ten million, three hundred four thousand, one hundred twelve".
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