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666264 = 233172371
BaseRepresentation
bin10100010101010011000
31020211221110
42202222120
5132310024
622140320
75443314
oct2425230
91224843
10666264
11415635
122816a0
131a4351
14134b44
15d2629
hexa2a98

666264 has 64 divisors (see below), whose sum is σ = 1866240. Its totient is φ = 197120.

The previous prime is 666233. The next prime is 666269. The reversal of 666264 is 462666.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666269) by changing a digit.

666264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9349 + ... + 9419.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2666264 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 666264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933120).

666264 is an abundant number, since it is smaller than the sum of its proper divisors (1199976).

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

666264 is a wasteful number, since it uses less digits than its factorization.

666264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 666264 is about 816.2499617152. The cubic root of 666264 is about 87.3404548447.

The spelling of 666264 in words is "six hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 71 92 102 136 138 142 184 204 213 276 284 391 408 426 552 568 782 852 1173 1207 1564 1633 1704 2346 2414 3128 3266 3621 4692 4828 4899 6532 7242 9384 9656 9798 13064 14484 19596 27761 28968 39192 55522 83283 111044 166566 222088 333132 666264