Base | Representation |
---|---|
bin | 100101111110… |
… | …111000110000 |
3 | 200201212022112 |
4 | 211332320300 |
5 | 10022110122 |
6 | 553224452 |
7 | 150426620 |
oct | 45767060 |
9 | 20655275 |
10 | 9956912 |
11 | 5690859 |
12 | 3402128 |
13 | 20a8084 |
14 | 1472880 |
15 | d1a2e2 |
hex | 97ee30 |
9956912 has 40 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 4041792.
The previous prime is 9956911. The next prime is 9956939. The reversal of 9956912 is 2196599.
It is a self number, because there is not a number n which added to its sum of digits gives 9956912.
It is not an unprimeable number, because it can be changed into a prime (9956911) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 4467.
It is an arithmetic number, because the mean of its divisors is an integer number (580320).
Almost surely, 29956912 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 9956912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).
9956912 is an abundant number, since it is smaller than the sum of its proper divisors (13255888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9956912 is a wasteful number, since it uses less digits than its factorization.
9956912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4713 (or 4707 counting only the distinct ones).
The product of its digits is 43740, while the sum is 41.
The square root of 9956912 is about 3155.4574945640. The cubic root of 9956912 is about 215.1335892330.
Adding to 9956912 its sum of digits (41), we get a triangular number (9956953 = T4462).
The spelling of 9956912 in words is "nine million, nine hundred fifty-six thousand, nine hundred twelve".
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