Base | Representation |
---|---|
bin | 1101110110101… |
… | …0010100000000 |
3 | 11001100011000011 |
4 | 3131222110000 |
5 | 104333412021 |
6 | 5433234304 |
7 | 1303621363 |
oct | 335522400 |
9 | 131304004 |
10 | 58107136 |
11 | 2a88882a |
12 | 17562994 |
13 | c066529 |
14 | 7a080da |
15 | 517bde1 |
hex | 376a500 |
58107136 has 36 divisors (see below), whose sum is σ = 117920404. Its totient is φ = 28577280.
The previous prime is 58107103. The next prime is 58107163. The reversal of 58107136 is 63170185.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 44089600 = 3744^2 + 6640^2 .
It is a zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 58107098 and 58107107.
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 3 ways as a sum of consecutive naturals, for example, 952546 + ... + 952606.
Almost surely, 258107136 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 58107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960202).
58107136 is an abundant number, since it is smaller than the sum of its proper divisors (59813268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58107136 is an frugal number, since it uses more digits than its factorization.
58107136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199 (or 63 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 31.
The square root of 58107136 is about 7622.8036836849. The cubic root of 58107136 is about 387.3258566802.
The spelling of 58107136 in words is "fifty-eight million, one hundred seven thousand, one hundred thirty-six".
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