Base | Representation |
---|---|
bin | 100110001011… |
… | …111100100110 |
3 | 200211120200210 |
4 | 212023330212 |
5 | 10030313111 |
6 | 554320250 |
7 | 151041600 |
oct | 46137446 |
9 | 20746623 |
10 | 10010406 |
11 | 5717a6a |
12 | 3429086 |
13 | 20c6523 |
14 | 1488170 |
15 | d2b0a6 |
hex | 98bf26 |
10010406 has 48 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 2817360.
The previous prime is 10010401. The next prime is 10010411. The reversal of 10010406 is 60401001.
It is an interprime number because it is at equal distance from previous prime (10010401) and next prime (10010411).
It is a junction number, because it is equal to n+sod(n) for n = 10010391 and 10010400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10010401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23011 + ... + 23441.
It is an arithmetic number, because the mean of its divisors is an integer number (492480).
Almost surely, 210010406 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10010406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819520).
10010406 is an abundant number, since it is smaller than the sum of its proper divisors (13628634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10010406 is a wasteful number, since it uses less digits than its factorization.
10010406 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 529 (or 522 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10010406 is about 3163.9225654241. The cubic root of 10010406 is about 215.5181732547.
Adding to 10010406 its reverse (60401001), we get a palindrome (70411407).
The spelling of 10010406 in words is "ten million, ten thousand, four hundred six".
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