Base | Representation |
---|---|
bin | 100110010011… |
… | …001100100000 |
3 | 200220002102102 |
4 | 212103030200 |
5 | 10032240341 |
6 | 555105532 |
7 | 151224263 |
oct | 46231440 |
9 | 20802372 |
10 | 10040096 |
11 | 5738300 |
12 | 34422a8 |
13 | 2106bb1 |
14 | 1494cda |
15 | d34c9b |
hex | 993320 |
10040096 has 36 divisors (see below), whose sum is σ = 21735126. Its totient is φ = 4561920.
The previous prime is 10040087. The next prime is 10040111. The reversal of 10040096 is 69004001.
It can be written as a sum of positive squares in only one way, i.e., 8179600 + 1860496 = 2860^2 + 1364^2 .
It is a nialpdrome in base 16.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2576 + ... + 5168.
Almost surely, 210040096 is an apocalyptic number.
10040096 is a gapful number since it is divisible by the number (16) 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 10040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867563).
10040096 is an abundant number, since it is smaller than the sum of its proper divisors (11695030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10040096 is a wasteful number, since it uses less digits than its factorization.
10040096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2625 (or 2606 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 10040096 is about 3168.6110521804. The cubic root of 10040096 is about 215.7310323847.
Adding to 10040096 its reverse (69004001), we get a palindrome (79044097).
The spelling of 10040096 in words is "ten million, forty thousand, ninety-six".
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