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66040 = 23513127
BaseRepresentation
bin10000000111111000
310100120221
4100013320
54103130
61225424
7363352
oct200770
9110527
1066040
1145687
1232274
13240a0
141a0d2
151487a
hex101f8

66040 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 24192.

The previous prime is 66037. The next prime is 66041. The reversal of 66040 is 4066.

It is a super-2 number, since 2×660402 = 8722563200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

266040 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 66040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

66040 is an abundant number, since it is smaller than the sum of its proper divisors (95240).

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

66040 is a wasteful number, since it uses less digits than its factorization.

66040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 66040 is about 256.9824896759. The cubic root of 66040 is about 40.4205626787.

The spelling of 66040 in words is "sixty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1651 2540 3302 5080 6604 8255 13208 16510 33020 66040