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663780 = 2235132337
BaseRepresentation
bin10100010000011100100
31020201112110
42202003210
5132220110
622121020
75433135
oct2420344
91221473
10663780
11413787
12280170
131a3190
14133c8c
15d1a20
hexa20e4

663780 has 96 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 152064.

The previous prime is 663763. The next prime is 663787. The reversal of 663780 is 87366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (663787) 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 31 ways as a sum of consecutive naturals, for example, 17922 + ... + 17958.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2663780 is an apocalyptic number.

663780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

663780 is an abundant number, since it is smaller than the sum of its proper divisors (1481244).

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

663780 is a wasteful number, since it uses less digits than its factorization.

663780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 663780 is about 814.7269481243. The cubic root of 663780 is about 87.2317772689.

The spelling of 663780 in words is "six hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 37 39 46 52 60 65 69 74 78 92 111 115 130 138 148 156 185 195 222 230 260 276 299 345 370 390 444 460 481 555 598 690 740 780 851 897 962 1110 1196 1380 1443 1495 1702 1794 1924 2220 2405 2553 2886 2990 3404 3588 4255 4485 4810 5106 5772 5980 7215 8510 8970 9620 10212 11063 12765 14430 17020 17940 22126 25530 28860 33189 44252 51060 55315 66378 110630 132756 165945 221260 331890 663780