Base | Representation |
---|---|
bin | 1100101111110… |
… | …1110000000000 |
3 | 10201121110112020 |
4 | 3023331300000 |
5 | 102141440120 |
6 | 5150001440 |
7 | 1216320564 |
oct | 313756000 |
9 | 121543466 |
10 | 53468160 |
11 | 281aa469 |
12 | 15aa6280 |
13 | b100b85 |
14 | 715b6a4 |
15 | 4a62640 |
hex | 32fdc00 |
53468160 has 132 divisors (see below), whose sum is σ = 173962248. Its totient is φ = 14016512.
The previous prime is 53468159. The next prime is 53468167. The reversal of 53468160 is 6186435.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53468167) 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, 906211 + ... + 906269.
Almost surely, 253468160 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 53468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86981124).
53468160 is an abundant number, since it is smaller than the sum of its proper divisors (120494088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53468160 is an equidigital number, since it uses as much as digits as its factorization.
53468160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 146 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 33.
The square root of 53468160 is about 7312.1925576396. The cubic root of 53468160 is about 376.7313365176.
It can be divided in two parts, 53468 and 160, that added together give a triangular number (53628 = T327).
The spelling of 53468160 in words is "fifty-three million, four hundred sixty-eight thousand, one hundred sixty".
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