Base | Representation |
---|---|
bin | 100011101111… |
… | …001000000000 |
3 | 122121221120100 |
4 | 203233020000 |
5 | 4344234224 |
6 | 532442400 |
7 | 142425066 |
oct | 43571000 |
9 | 18557510 |
10 | 9368064 |
11 | 5319402 |
12 | 3179400 |
13 | 1c30044 |
14 | 135c036 |
15 | c50ac9 |
hex | 8ef200 |
9368064 has 120 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 2930688.
The previous prime is 9368059. The next prime is 9368069. The reversal of 9368064 is 4608639.
It is an interprime number because it is at equal distance from previous prime (9368059) and next prime (9368069).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (9368069) 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, 87499 + ... + 87605.
It is an arithmetic number, because the mean of its divisors is an integer number (239382).
Almost surely, 29368064 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 9368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).
9368064 is an abundant number, since it is smaller than the sum of its proper divisors (19357776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9368064 is a wasteful number, since it uses less digits than its factorization.
9368064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 9368064 is about 3060.7293248505. The cubic root of 9368064 is about 210.8061530609.
The spelling of 9368064 in words is "nine million, three hundred sixty-eight thousand, sixty-four".
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