Base | Representation |
---|---|
bin | 100111001111… |
… | …111100110000 |
3 | 201100201210000 |
4 | 213033330300 |
5 | 10113221234 |
6 | 1004310000 |
7 | 153311631 |
oct | 47177460 |
9 | 21321700 |
10 | 10288944 |
11 | 5898266 |
12 | 3542300 |
13 | 2193243 |
14 | 151b888 |
15 | d83899 |
hex | 9cff30 |
10288944 has 100 divisors (see below), whose sum is σ = 31598424. Its totient is φ = 3220992.
The previous prime is 10288933. The next prime is 10288963. The reversal of 10288944 is 44988201.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10288899 and 10288908.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21799 + ... + 22265.
Almost surely, 210288944 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 10288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799212).
10288944 is an abundant number, since it is smaller than the sum of its proper divisors (21309480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10288944 is a wasteful number, since it uses less digits than its factorization.
10288944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 504 (or 489 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 10288944 is about 3207.6383836087. The cubic root of 10288944 is about 217.4988347143.
The spelling of 10288944 in words is "ten million, two hundred eighty-eight thousand, nine hundred forty-four".
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