Base | Representation |
---|---|
bin | 100011001110… |
… | …101010000000 |
3 | 122101012010201 |
4 | 203032222000 |
5 | 4331010242 |
6 | 525534544 |
7 | 141332260 |
oct | 43165200 |
9 | 18335121 |
10 | 9235072 |
11 | 52384a0 |
12 | 3114454 |
13 | 1bb4652 |
14 | 13257a0 |
15 | c264b7 |
hex | 8cea80 |
9235072 has 64 divisors (see below), whose sum is σ = 22962240. Its totient is φ = 3594240.
The previous prime is 9235049. The next prime is 9235073. The reversal of 9235072 is 2705329.
9235072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a d-powerful number, because it can be written as 92 + 25 + 39 + 55 + 0 + 77 + 223 .
It is a self number, because there is not a number n which added to its sum of digits gives 9235072.
It is not an unprimeable number, because it can be changed into a prime (9235073) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9388 + ... + 10324.
It is an arithmetic number, because the mean of its divisors is an integer number (358785).
Almost surely, 29235072 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 9235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481120).
9235072 is an abundant number, since it is smaller than the sum of its proper divisors (13727168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9235072 is a wasteful number, since it uses less digits than its factorization.
9235072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 969 (or 957 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 28.
The square root of 9235072 is about 3038.9261261176. The cubic root of 9235072 is about 209.8038379852.
It can be divided in two parts, 923 and 5072, that added together give a palindrome (5995).
The spelling of 9235072 in words is "nine million, two hundred thirty-five thousand, seventy-two".
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