| Base | Representation |
|---|---|
| bin | 100111000101… |
| … | …010011000000 |
| 3 | 201021111221000 |
| 4 | 213011103000 |
| 5 | 10110322222 |
| 6 | 1003332000 |
| 7 | 153040500 |
| oct | 47052300 |
| 9 | 21244830 |
| 10 | 10245312 |
| 11 | 5868500 |
| 12 | 3521000 |
| 13 | 217941c |
| 14 | 1509a00 |
| 15 | d759ac |
| hex | 9c54c0 |
10245312 has 252 divisors, whose sum is σ = 38511480. Its totient is φ = 2661120.
The previous prime is 10245311. The next prime is 10245317. The reversal of 10245312 is 21354201.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (252).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10245311) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 931387 + ... + 931397.
Almost surely, 210245312 is an apocalyptic number.
10245312 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 10245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19255740).
10245312 is an abundant number, since it is smaller than the sum of its proper divisors (28266168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10245312 is a wasteful number, since it uses less digits than its factorization.
10245312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 10245312 is about 3200.8298923873. The cubic root of 10245312 is about 217.1909522802.
Adding to 10245312 its reverse (21354201), we get a palindrome (31599513).
Subtracting 10245312 from its reverse (21354201), we obtain a square (11108889 = 33332).
It can be divided in two parts, 1024 and 5312, that added together give a palindrome (6336).
The spelling of 10245312 in words is "ten million, two hundred forty-five thousand, three hundred twelve".
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