Base | Representation |
---|---|
bin | 100111111000… |
… | …100000000000 |
3 | 201200011121201 |
4 | 213320200000 |
5 | 10134030130 |
6 | 1012030544 |
7 | 154603111 |
oct | 47704000 |
9 | 21604551 |
10 | 10455040 |
11 | 59a1032 |
12 | 3602454 |
13 | 2220a1b |
14 | 1562208 |
15 | db7bca |
hex | 9f8800 |
10455040 has 48 divisors (see below), whose sum is σ = 25110540. Its totient is φ = 4177920.
The previous prime is 10455023. The next prime is 10455043. The reversal of 10455040 is 4055401.
It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 9216 = 3232^2 + 96^2 .
It is a super-2 number, since 2×104550402 = 218615722803200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10454999 and 10455017.
It is not an unprimeable number, because it can be changed into a prime (10455043) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9730 + ... + 10750.
Almost surely, 210455040 is an apocalyptic number.
10455040 is a gapful number since it is divisible by the number (10) 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 10455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555270).
10455040 is an abundant number, since it is smaller than the sum of its proper divisors (14655500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10455040 is an equidigital number, since it uses as much as digits as its factorization.
10455040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1048 (or 1028 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 19.
The square root of 10455040 is about 3233.4254282417. The cubic root of 10455040 is about 218.6629651036.
The spelling of 10455040 in words is "ten million, four hundred fifty-five thousand, forty".
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