| Base | Representation |
|---|---|
| bin | 100101110011… |
| … | …011010001100 |
| 3 | 200122110211100 |
| 4 | 211303122030 |
| 5 | 10014104100 |
| 6 | 552223100 |
| 7 | 150142560 |
| oct | 45633214 |
| 9 | 20573740 |
| 10 | 9909900 |
| 11 | 5659500 |
| 12 | 339aa90 |
| 13 | 208c860 |
| 14 | 145d6a0 |
| 15 | d0b400 |
| hex | 97368c |
9909900 has 324 divisors, whose sum is σ = 42021616. Its totient is φ = 1900800.
The previous prime is 9909881. The next prime is 9909901. The reversal of 9909900 is 99099.
9909900 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-2 number, since 2×99099002 = 196412236020000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (9909901) by changing a digit.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 762294 + ... + 762306.
Almost surely, 29909900 is an apocalyptic number.
9909900 is a gapful number since it is divisible by the number (90) 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 9909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21010808).
9909900 is an abundant number, since it is smaller than the sum of its proper divisors (32111716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9909900 is a wasteful number, since it uses less digits than its factorization.
9909900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 6561, while the sum is 36.
The square root of 9909900 is about 3147.9993646759. Note that the first 3 decimals coincide. The cubic root of 9909900 is about 214.7944673627.
Multiplying 9909900 by its reverse (99099), we get a square (982061180100 = 9909902).
9909900 divided by its reverse (99099) gives a square (100 = 102).
It can be divided in two parts, 9 and 909900, that added together give a palindrome (909909).
The spelling of 9909900 in words is "nine million, nine hundred nine thousand, nine hundred".
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