Base | Representation |
---|---|
bin | 100101110001… |
… | …000101000000 |
3 | 200121222201201 |
4 | 211301011000 |
5 | 10013302402 |
6 | 552110544 |
7 | 150103000 |
oct | 45610500 |
9 | 20558651 |
10 | 9900352 |
11 | 5652310 |
12 | 3395454 |
13 | 20883c7 |
14 | 145a000 |
15 | d08687 |
hex | 971140 |
9900352 has 112 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 3763200.
The previous prime is 9900343. The next prime is 9900367. The reversal of 9900352 is 2530099.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 9900352.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241452 + ... + 241492.
It is an arithmetic number, because the mean of its divisors is an integer number (228600).
Almost surely, 29900352 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 9900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).
9900352 is an abundant number, since it is smaller than the sum of its proper divisors (15702848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9900352 is a wasteful number, since it uses less digits than its factorization.
9900352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 2430, while the sum is 28.
The square root of 9900352 is about 3146.4824804852. The cubic root of 9900352 is about 214.7254617359.
The spelling of 9900352 in words is "nine million, nine hundred thousand, three hundred fifty-two".
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