Base | Representation |
---|---|
bin | 1110010100110… |
… | …1011100000000 |
3 | 11012001200112000 |
4 | 3211031130000 |
5 | 110340223031 |
6 | 5543504000 |
7 | 1326502614 |
oct | 345153400 |
9 | 135050460 |
10 | 60086016 |
11 | 30a0a571 |
12 | 18158000 |
13 | c5aa173 |
14 | 7da1344 |
15 | 541d3e6 |
hex | 394d700 |
60086016 has 72 divisors (see below), whose sum is σ = 177705360. Its totient is φ = 20026368.
The previous prime is 60086003. The next prime is 60086017. The reversal of 60086016 is 61068006.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×600860162 = 7220658637504512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (60086017) by changing a digit.
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, 2566 + ... + 11258.
It is an arithmetic number, because the mean of its divisors is an integer number (2468130).
Almost surely, 260086016 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 60086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88852680).
60086016 is an abundant number, since it is smaller than the sum of its proper divisors (117619344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60086016 is an equidigital number, since it uses as much as digits as its factorization.
60086016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8718 (or 8698 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 60086016 is about 7751.5170128176. The cubic root of 60086016 is about 391.6737532645.
The spelling of 60086016 in words is "sixty million, eighty-six thousand, sixteen".
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