Base | Representation |
---|---|
bin | 100110010011… |
… | …010110101000 |
3 | 200220010022102 |
4 | 212103112220 |
5 | 10032300434 |
6 | 555112532 |
7 | 151226210 |
oct | 46232650 |
9 | 20803272 |
10 | 10040744 |
11 | 573883a |
12 | 3442748 |
13 | 210728c |
14 | 1495240 |
15 | d3507e |
hex | 9935a8 |
10040744 has 64 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 3953664.
The previous prime is 10040741. The next prime is 10040791. The reversal of 10040744 is 44704001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10040741) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50357 + ... + 50555.
It is an arithmetic number, because the mean of its divisors is an integer number (364500).
Almost surely, 210040744 is an apocalyptic number.
10040744 is a gapful number since it is divisible by the number (14) 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 10040744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).
10040744 is an abundant number, since it is smaller than the sum of its proper divisors (13287256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10040744 is a wasteful number, since it uses less digits than its factorization.
10040744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 282 (or 278 counting only the distinct ones).
The product of its (nonzero) digits is 448, while the sum is 20.
The square root of 10040744 is about 3168.7133035350. The cubic root of 10040744 is about 215.7356734659.
Adding to 10040744 its reverse (44704001), we get a palindrome (54744745).
The spelling of 10040744 in words is "ten million, forty thousand, seven hundred forty-four".
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