| Base | Representation |
|---|---|
| bin | 1111001011110… |
| … | …0111010000000 |
| 3 | 11102211200221200 |
| 4 | 3302330322000 |
| 5 | 112301011240 |
| 6 | 10153021200 |
| 7 | 1402225143 |
| oct | 362747200 |
| 9 | 142750850 |
| 10 | 63688320 |
| 11 | 32a4aa83 |
| 12 | 193b4800 |
| 13 | 1026b9c7 |
| 14 | 865c05a |
| 15 | 58d0930 |
| hex | 3cbce80 |
63688320 has 96 divisors (see below), whose sum is σ = 219943620. Its totient is φ = 16982016.
The previous prime is 63688309. The next prime is 63688333. The reversal of 63688320 is 2388636.
63688320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 60093504 + 3594816 = 7752^2 + 1896^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×636883203 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 11288.
Almost surely, 263688320 is an apocalyptic number.
63688320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 63688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109971810).
63688320 is an abundant number, since it is smaller than the sum of its proper divisors (156255300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63688320 is a wasteful number, since it uses less digits than its factorization.
63688320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11082 (or 11067 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 63688320 is about 7980.4962251730. The cubic root of 63688320 is about 399.3496097210.
The spelling of 63688320 in words is "sixty-three million, six hundred eighty-eight thousand, three hundred twenty".
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