| Base | Representation |
|---|---|
| bin | 100110001101… |
| … | …110011011000 |
| 3 | 200211222010100 |
| 4 | 212031303120 |
| 5 | 10031034013 |
| 6 | 554415400 |
| 7 | 151103010 |
| oct | 46156330 |
| 9 | 20758110 |
| 10 | 10018008 |
| 11 | 5722750 |
| 12 | 3431560 |
| 13 | 20c9b20 |
| 14 | 148ac40 |
| 15 | d2d473 |
| hex | 98dcd8 |
10018008 has 192 divisors, whose sum is σ = 36691200. Its totient is φ = 2384640.
The previous prime is 10017989. The next prime is 10018027. The reversal of 10018008 is 80081001.
It is a happy number.
10018008 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 an interprime number because it is at equal distance from previous prime (10017989) and next prime (10018027).
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 47 ways as a sum of consecutive naturals, for example, 72003 + ... + 72141.
It is an arithmetic number, because the mean of its divisors is an integer number (191100).
Almost surely, 210018008 is an apocalyptic number.
10018008 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 10018008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).
10018008 is an abundant number, since it is smaller than the sum of its proper divisors (26673192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10018008 is a wasteful number, since it uses less digits than its factorization.
10018008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
The square root of 10018008 is about 3165.1236942654. The cubic root of 10018008 is about 215.5727149851.
Adding to 10018008 its reverse (80081001), we get a palindrome (90099009).
It can be divided in two parts, 1001 and 8008, that added together give a palindrome (9009).
The spelling of 10018008 in words is "ten million, eighteen thousand, eight".
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