Base | Representation |
---|---|
bin | 101001001101… |
… | …101100011100 |
3 | 202022220022000 |
4 | 221031230130 |
5 | 10231211441 |
6 | 1023322300 |
7 | 160555350 |
oct | 51155434 |
9 | 22286260 |
10 | 10803996 |
11 | 610a225 |
12 | 3750390 |
13 | 23137c8 |
14 | 1613460 |
15 | e362b6 |
hex | a4db1c |
10803996 has 96 divisors (see below), whose sum is σ = 33116160. Its totient is φ = 2980800.
The previous prime is 10803983. The next prime is 10804007. The reversal of 10803996 is 69930801.
10803996 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×108039963 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10803996.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23206 + ... + 23666.
It is an arithmetic number, because the mean of its divisors is an integer number (344960).
Almost surely, 210803996 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10803996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080).
10803996 is an abundant number, since it is smaller than the sum of its proper divisors (22312164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10803996 is a wasteful number, since it uses less digits than its factorization.
10803996 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 512 (or 504 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The square root of 10803996 is about 3286.9432608428. The cubic root of 10803996 is about 221.0691483899.
The spelling of 10803996 in words is "ten million, eight hundred three thousand, nine hundred ninety-six".
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