| Base | Representation |
|---|---|
| bin | 1111001011100… |
| … | …1000010100000 |
| 3 | 11102210220020000 |
| 4 | 3302321002200 |
| 5 | 112300004410 |
| 6 | 10152420000 |
| 7 | 1402131024 |
| oct | 362710240 |
| 9 | 142726200 |
| 10 | 63672480 |
| 11 | 32a3a093 |
| 12 | 193a7600 |
| 13 | 10264731 |
| 14 | 8656384 |
| 15 | 58cadc0 |
| hex | 3cb90a0 |
63672480 has 240 divisors, whose sum is σ = 238752360. Its totient is φ = 15980544.
The previous prime is 63672473. The next prime is 63672491. The reversal of 63672480 is 8427636.
It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 10265616 = 7308^2 + 3204^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 510 × 306 × 408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3745432 + ... + 3745448.
Almost surely, 263672480 is an apocalyptic number.
63672480 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 63672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119376180).
63672480 is an abundant number, since it is smaller than the sum of its proper divisors (175079880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63672480 is an equidigital number, since it uses as much as digits as its factorization.
63672480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 63672480 is about 7979.5037439680. The cubic root of 63672480 is about 399.3164993992.
It can be divided in two parts, 636724 and 80, that added together give a square (636804 = 7982).
The spelling of 63672480 in words is "sixty-three million, six hundred seventy-two thousand, four hundred eighty".
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