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663520 = 255111329
BaseRepresentation
bin10100001111111100000
31020201011211
42201333200
5132213040
622115504
75432314
oct2417740
91221154
10663520
11413570
1227bb94
131a3020
14133b44
15d18ea
hexa1fe0

663520 has 96 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 215040.

The previous prime is 663517. The next prime is 663529. The reversal of 663520 is 25366.

663520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 663491 and 663500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22866 + ... + 22894.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2663520 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 663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

663520 is an abundant number, since it is smaller than the sum of its proper divisors (1241600).

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

663520 is a wasteful number, since it uses less digits than its factorization.

663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 663520 is about 814.5673698351. The cubic root of 663520 is about 87.2203863342.

Adding to 663520 its reverse (25366), we get a palindrome (688886).

The spelling of 663520 in words is "six hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 65 80 88 104 110 116 130 143 145 160 176 208 220 232 260 286 290 319 352 377 416 440 464 520 572 580 638 715 754 880 928 1040 1144 1160 1276 1430 1508 1595 1760 1885 2080 2288 2320 2552 2860 3016 3190 3770 4147 4576 4640 5104 5720 6032 6380 7540 8294 10208 11440 12064 12760 15080 16588 20735 22880 25520 30160 33176 41470 51040 60320 66352 82940 132704 165880 331760 663520