Base | Representation |
---|---|
bin | 11100100111000100100000 |
3 | 112010001011011 |
4 | 130213010200 |
5 | 3410000224 |
6 | 424430304 |
7 | 120515035 |
oct | 34470440 |
9 | 15101134 |
10 | 7500064 |
11 | 4262a00 |
12 | 2618394 |
13 | 1727a10 |
14 | dd338c |
15 | 9d2394 |
hex | 727120 |
7500064 has 72 divisors (see below), whose sum is σ = 17595900. Its totient is φ = 3125760.
The previous prime is 7500061. The next prime is 7500071. The reversal of 7500064 is 4600057.
It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 1210000 = 2508^2 + 1100^2 .
It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (7500061) 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, 50262 + ... + 50410.
Almost surely, 27500064 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 7500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797950).
7500064 is an abundant number, since it is smaller than the sum of its proper divisors (10095836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7500064 is a wasteful number, since it uses less digits than its factorization.
7500064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 22.
The square root of 7500064 is about 2738.6244722488. The cubic root of 7500064 is about 195.7439388380.
Adding to 7500064 its reverse (4600057), we get a palindrome (12100121).
The spelling of 7500064 in words is "seven million, five hundred thousand, sixty-four".
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