Base | Representation |
---|---|
bin | 100110011101… |
… | …001011110000 |
3 | 200222011112200 |
4 | 212131023300 |
5 | 10040043013 |
6 | 1000023200 |
7 | 151454460 |
oct | 46351360 |
9 | 20864480 |
10 | 10081008 |
11 | 5766013 |
12 | 3461b00 |
13 | 211c6c2 |
14 | 14a5ba0 |
15 | d41e73 |
hex | 99d2f0 |
10081008 has 120 divisors (see below), whose sum is σ = 32923488. Its totient is φ = 2820096.
The previous prime is 10080997. The next prime is 10081013. The reversal of 10081008 is 80018001.
It is a happy number.
10081008 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 Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73516 + ... + 73652.
Almost surely, 210081008 is an apocalyptic number.
10081008 is a gapful number since it is divisible by the number (18) 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 10081008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461744).
10081008 is an abundant number, since it is smaller than the sum of its proper divisors (22842480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10081008 is a wasteful number, since it uses less digits than its factorization.
10081008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 231 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
The square root of 10081008 is about 3175.0603143877. The cubic root of 10081008 is about 216.0236599597.
Adding to 10081008 its reverse (80018001), we get a palindrome (90099009).
It can be divided in two parts, 1008 and 1008, that added together give a triangular number (2016 = T63).
The spelling of 10081008 in words is "ten million, eighty-one thousand, eight".
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