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660144 = 24317809
BaseRepresentation
bin10100001001010110000
31020112112210
42201022300
5132111034
622052120
75416422
oct2411260
91215483
10660144
11410a81
1227a040
131a1624
14132812
15d08e9
hexa12b0

660144 has 40 divisors (see below), whose sum is σ = 1807920. Its totient is φ = 206848.

The previous prime is 660137. The next prime is 660157. The reversal of 660144 is 441066.

It is a self number, because there is not a number n which added to its sum of digits gives 660144.

It is an unprimeable number.

660144 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (45198).

2660144 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 660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903960).

660144 is an abundant number, since it is smaller than the sum of its proper divisors (1147776).

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

660144 is a wasteful number, since it uses less digits than its factorization.

660144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 660144 is about 812.4924615035. The cubic root of 660144 is about 87.0722085151.

The spelling of 660144 in words is "six hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 809 816 1618 2427 3236 4854 6472 9708 12944 13753 19416 27506 38832 41259 55012 82518 110024 165036 220048 330072 660144