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665952 = 2537991
BaseRepresentation
bin10100010100101100000
31020211111220
42202211200
5132302302
622135040
75442360
oct2424540
91224456
10665952
11415381
12281480
131a4171
141349a0
15d24bc
hexa2960

665952 has 48 divisors (see below), whose sum is σ = 1999872. Its totient is φ = 190080.

The previous prime is 665947. The next prime is 665953. The reversal of 665952 is 259566.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665953) 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, 177 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2665952 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 665952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936).

665952 is an abundant number, since it is smaller than the sum of its proper divisors (1333920).

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

665952 is a wasteful number, since it uses less digits than its factorization.

665952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 665952 is about 816.0588214093. The cubic root of 665952 is about 87.3268193705.

The spelling of 665952 in words is "six hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 991 1982 2973 3964 5946 6937 7928 11892 13874 15856 20811 23784 27748 31712 41622 47568 55496 83244 95136 110992 166488 221984 332976 665952