Base | Representation |
---|---|
bin | 1111000011001… |
… | …1111100000000 |
3 | 11101210012101000 |
4 | 3300303330000 |
5 | 112130033141 |
6 | 10133012000 |
7 | 1364400411 |
oct | 360637400 |
9 | 141705330 |
10 | 63127296 |
11 | 326a7521 |
12 | 19184000 |
13 | 1010353b |
14 | 8553808 |
15 | 581e5b6 |
hex | 3c33f00 |
63127296 has 72 divisors (see below), whose sum is σ = 186698960. Its totient is φ = 21040128.
The previous prime is 63127289. The next prime is 63127297. The reversal of 63127296 is 69272136.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 63127296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (63127297) 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, 2346 + ... + 11478.
Almost surely, 263127296 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 63127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93349480).
63127296 is an abundant number, since it is smaller than the sum of its proper divisors (123571664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63127296 is an equidigital number, since it uses as much as digits as its factorization.
63127296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9158 (or 9138 counting only the distinct ones).
The product of its digits is 27216, while the sum is 36.
The square root of 63127296 is about 7945.2687808532. The cubic root of 63127296 is about 398.1735394652.
The spelling of 63127296 in words is "sixty-three million, one hundred twenty-seven thousand, two hundred ninety-six".
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