Base | Representation |
---|---|
bin | 11011100111101… |
… | …010010000111000 |
3 | 1012021221020000000 |
4 | 123213222100320 |
5 | 1422111202220 |
6 | 113551513000 |
7 | 14324451435 |
oct | 3347522070 |
9 | 1167836000 |
10 | 463381560 |
11 | 218626474 |
12 | 10b228760 |
13 | 75003795 |
14 | 45782b8c |
15 | 2aa33390 |
hex | 1b9ea438 |
463381560 has 128 divisors (see below), whose sum is σ = 1563969600. Its totient is φ = 123545088.
The previous prime is 463381511. The next prime is 463381561. The reversal of 463381560 is 65183364.
463381560 is a `hidden beast` number, since 4 + 63 + 38 + 1 + 560 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (463381561) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84832 + ... + 90128.
Almost surely, 2463381560 is an apocalyptic number.
463381560 is a gapful number since it is divisible by the number (40) 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 463381560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781984800).
463381560 is an abundant number, since it is smaller than the sum of its proper divisors (1100588040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
463381560 is an equidigital number, since it uses as much as digits as its factorization.
463381560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5329 (or 5307 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 463381560 is about 21526.2992639237. The cubic root of 463381560 is about 773.8312233402.
The spelling of 463381560 in words is "four hundred sixty-three million, three hundred eighty-one thousand, five hundred sixty".
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