Search a number
-
+
66016500 = 22353114001
BaseRepresentation
bin1111101111010…
…1010011110100
311121012222121120
43323311103310
5113400012000
610314543540
71431062634
oct373652364
9147188546
1066016500
11342a01a0
121a137bb0
13108a5624
148aa66c4
155be06a0
hex3ef54f4

66016500 has 96 divisors (see below), whose sum is σ = 209768832. Its totient is φ = 16000000.

The previous prime is 66016493. The next prime is 66016501. The reversal of 66016500 is 561066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66016501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14500 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (2185092).

Almost surely, 266016500 is an apocalyptic number.

66016500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66016500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104884416).

66016500 is an abundant number, since it is smaller than the sum of its proper divisors (143752332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66016500 is a wasteful number, since it uses less digits than its factorization.

66016500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66016500 is about 8125.0538459754. The cubic root of 66016500 is about 404.1576762564.

Adding to 66016500 its reverse (561066), we get a palindrome (66577566).

It can be divided in two parts, 660 and 16500, that multiplied together give a square (10890000 = 33002).

The spelling of 66016500 in words is "sixty-six million, sixteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4001 4125 5500 8002 8250 12003 16004 16500 20005 24006 40010 44011 48012 60015 80020 88022 100025 120030 132033 176044 200050 220055 240060 264066 300075 400100 440110 500125 528132 600150 660165 880220 1000250 1100275 1200300 1320330 1500375 2000500 2200550 2640660 3000750 3300825 4401100 5501375 6001500 6601650 11002750 13203300 16504125 22005500 33008250 66016500