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66000 = 2435311
BaseRepresentation
bin10000000111010000
310100112110
4100013100
54103000
61225320
7363264
oct200720
9110473
1066000
1145650
1232240
132406c
141a0a4
1514850
hex101d0

66000 has 80 divisors (see below), whose sum is σ = 232128. Its totient is φ = 16000.

The previous prime is 65993. The next prime is 66029. The reversal of 66000 is 66.

Added to its reverse (66) it gives a triangular number (66066 = T363).

66000 = T104 + T105 + ... + T114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

66000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5995 + ... + 6005.

266000 is an apocalyptic number.

66000 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 66000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).

66000 is an abundant number, since it is smaller than the sum of its proper divisors (166128).

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

66000 is a wasteful number, since it uses less digits than its factorization.

66000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 66000 is about 256.9046515733. The cubic root of 66000 is about 40.4124002062.

Adding to 66000 its reverse (66), we get a palindrome (66066).

66000 divided by its reverse (66) gives a cube (1000 = 103).

It can be divided in two parts, 6 and 6000, that added together give a palindrome (6006).

The spelling of 66000 in words is "sixty-six thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000