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663080 = 235112137
BaseRepresentation
bin10100001111000101000
31020200120112
42201320220
5132204310
622113452
75431115
oct2417050
91220515
10663080
11413200
1227b888
131a2a72
1413390c
15d1705
hexa1e28

663080 has 48 divisors (see below), whose sum is σ = 1651860. Its totient is φ = 239360.

The previous prime is 663071. The next prime is 663097. The reversal of 663080 is 80366.

It can be written as a sum of positive squares in 2 ways, for example, as 662596 + 484 = 814^2 + 22^2 .

It is an unprimeable number.

663080 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 11 ways as a sum of consecutive naturals, for example, 4772 + ... + 4908.

2663080 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 663080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825930).

663080 is an abundant number, since it is smaller than the sum of its proper divisors (988780).

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

663080 is a wasteful number, since it uses less digits than its factorization.

663080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 663080 is about 814.2972430262. The cubic root of 663080 is about 87.2011025868.

The spelling of 663080 in words is "six hundred sixty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 137 220 242 274 440 484 548 605 685 968 1096 1210 1370 1507 2420 2740 3014 4840 5480 6028 7535 12056 15070 16577 30140 33154 60280 66308 82885 132616 165770 331540 663080