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66020 = 2253301
BaseRepresentation
bin10000000111100100
310100120012
4100013210
54103040
61225352
7363323
oct200744
9110505
1066020
1145669
1232258
1324086
141a0ba
1514865
hex101e4

66020 has 12 divisors (see below), whose sum is σ = 138684. Its totient is φ = 26400.

The previous prime is 65993. The next prime is 66029. The reversal of 66020 is 2066.

66020 = T160 + T161 + ... + T164.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 47524 = 136^2 + 218^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 65986 and 66004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1631 + ... + 1670.

It is an arithmetic number, because the mean of its divisors is an integer number (11557).

266020 is an apocalyptic number.

It is an amenable number.

66020 is an abundant number, since it is smaller than the sum of its proper divisors (72664).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342).

66020 is a wasteful number, since it uses less digits than its factorization.

66020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 66020 is about 256.9435735721. The cubic root of 66020 is about 40.4164818546.

Adding to 66020 its reverse (2066), we get a palindrome (68086).

The spelling of 66020 in words is "sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 3301 6602 13204 16505 33010 66020