Base | Representation |
---|---|
bin | 100101011001… |
… | …000011010000 |
3 | 200102222201200 |
4 | 211121003100 |
5 | 10002130221 |
6 | 550031200 |
7 | 146213034 |
oct | 45310320 |
9 | 20388650 |
10 | 9801936 |
11 | 5595381 |
12 | 3348500 |
13 | 2052681 |
14 | 14321c4 |
15 | cd9426 |
hex | 9590d0 |
9801936 has 60 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 3189312.
The previous prime is 9801917. The next prime is 9801937. The reversal of 9801936 is 6391089.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an Ulam number.
It is a self number, because there is not a number n which added to its sum of digits gives 9801936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9801937) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401 + ... + 6983.
Almost surely, 29801936 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 9801936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).
9801936 is an abundant number, since it is smaller than the sum of its proper divisors (18285552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9801936 is a wasteful number, since it uses less digits than its factorization.
9801936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The square root of 9801936 is about 3130.8043694872. The cubic root of 9801936 is about 214.0115869931.
It can be divided in two parts, 980 and 1936, that added together give a square (2916 = 542).
The spelling of 9801936 in words is "nine million, eight hundred one thousand, nine hundred thirty-six".
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