Base | Representation |
---|---|
bin | 1101100101110… |
… | …0010001010000 |
3 | 10222020221201122 |
4 | 3121130101100 |
5 | 104043013130 |
6 | 5353421412 |
7 | 1261333535 |
oct | 331342120 |
9 | 128227648 |
10 | 57001040 |
11 | 2a1a27a8 |
12 | 1710a868 |
13 | ba69c35 |
14 | 77dad8c |
15 | 500e2e5 |
hex | 365c450 |
57001040 has 40 divisors (see below), whose sum is σ = 133786080. Its totient is φ = 22583936.
The previous prime is 57001039. The next prime is 57001057. The reversal of 57001040 is 4010075.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×570010402 = 6498237122163200, which contains 22 as substring.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 5231 + ... + 11889.
It is an arithmetic number, because the mean of its divisors is an integer number (3344652).
Almost surely, 257001040 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 57001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66893040).
57001040 is an abundant number, since it is smaller than the sum of its proper divisors (76785040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57001040 is a wasteful number, since it uses less digits than its factorization.
57001040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6779 (or 6773 counting only the distinct ones).
The product of its (nonzero) digits is 140, while the sum is 17.
The square root of 57001040 is about 7549.9033106392. The cubic root of 57001040 is about 384.8524537223.
The spelling of 57001040 in words is "fifty-seven million, one thousand, forty".
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