Search a number
-
+
660096 = 2733191
BaseRepresentation
bin10100001001010000000
31020112111000
42201022000
5132110341
622052000
75416323
oct2411200
91215430
10660096
11410a38
1227a000
131a15b8
141327ba
15d08b6
hexa1280

660096 has 64 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 218880.

The previous prime is 660073. The next prime is 660097. The reversal of 660096 is 690066.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660097) by changing a digit.

660096 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 7 ways as a sum of consecutive naturals, for example, 3361 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2660096 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 660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

660096 is an abundant number, since it is smaller than the sum of its proper divisors (1298304).

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

660096 is a wasteful number, since it uses less digits than its factorization.

660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 660096 is about 812.4629222309. The cubic root of 660096 is about 87.0700980829.

The spelling of 660096 in words is "six hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 191 192 216 288 382 384 432 573 576 764 864 1146 1152 1528 1719 1728 2292 3056 3438 3456 4584 5157 6112 6876 9168 10314 12224 13752 18336 20628 24448 27504 36672 41256 55008 73344 82512 110016 165024 220032 330048 660096