Base | Representation |
---|---|
bin | 1101100111010… |
… | …1010110010000 |
3 | 10222110011122002 |
4 | 3121311112100 |
5 | 104104310020 |
6 | 5355533132 |
7 | 1262242160 |
oct | 331652620 |
9 | 128404562 |
10 | 57103760 |
11 | 2a26299a |
12 | 1715a1a8 |
13 | baa490c |
14 | 78265a0 |
15 | 502e975 |
hex | 3675590 |
57103760 has 80 divisors (see below), whose sum is σ = 153311616. Its totient is φ = 19375104.
The previous prime is 57103679. The next prime is 57103763. The reversal of 57103760 is 6730175.
57103760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×571037602 = 6521678812275200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57103763) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 59444 + ... + 60396.
Almost surely, 257103760 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 57103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76655808).
57103760 is an abundant number, since it is smaller than the sum of its proper divisors (96207856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57103760 is a wasteful number, since it uses less digits than its factorization.
57103760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).
The product of its (nonzero) digits is 4410, while the sum is 29.
The square root of 57103760 is about 7556.7029847679. The cubic root of 57103760 is about 385.0834923212.
The spelling of 57103760 in words is "fifty-seven million, one hundred three thousand, seven hundred sixty".
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