Base | Representation |
---|---|
bin | 100110010011… |
… | …001100110000 |
3 | 200220002110000 |
4 | 212103030300 |
5 | 10032240422 |
6 | 555110000 |
7 | 151224315 |
oct | 46231460 |
9 | 20802400 |
10 | 10040112 |
11 | 5738315 |
12 | 3442300 |
13 | 2106bc4 |
14 | 1494d0c |
15 | d34cac |
hex | 993330 |
10040112 has 100 divisors (see below), whose sum is σ = 29767936. Its totient is φ = 3265920.
The previous prime is 10040111. The next prime is 10040117. The reversal of 10040112 is 21104001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a nialpdrome in base 6 and base 16.
It is a zygodrome in base 6.
It is a junction number, because it is equal to n+sod(n) for n = 10040094 and 10040103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10040111) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78993 + ... + 79119.
Almost surely, 210040112 is an apocalyptic number.
10040112 is a gapful number since it is divisible by the number (12) 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 10040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883968).
10040112 is an abundant number, since it is smaller than the sum of its proper divisors (19727824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10040112 is a wasteful number, since it uses less digits than its factorization.
10040112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 208 (or 193 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 10040112 is about 3168.6135769450. The cubic root of 10040112 is about 215.7311469817.
Adding to 10040112 its reverse (21104001), we get a palindrome (31144113).
The spelling of 10040112 in words is "ten million, forty thousand, one hundred twelve".
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