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663936 = 27371319
BaseRepresentation
bin10100010000110000000
31020201202020
42202012000
5132221221
622121440
75433450
oct2420600
91221666
10663936
11413909
12280280
131a3280
14133d60
15d1ac6
hexa2180

663936 has 128 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 165888.

The previous prime is 663907. The next prime is 663937. The reversal of 663936 is 639366.

663936 = T33 + T34 + ... + T158.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6639362 = 881622024192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663897 and 663906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34935 + ... + 34953.

It is an arithmetic number, because the mean of its divisors is an integer number (17850).

2663936 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 663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

663936 is an abundant number, since it is smaller than the sum of its proper divisors (1620864).

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

663936 is a wasteful number, since it uses less digits than its factorization.

663936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 663936 is about 814.8226800967. The cubic root of 663936 is about 87.2386104021.

The spelling of 663936 in words is "six hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 84 91 96 104 112 114 128 133 152 156 168 182 192 208 224 228 247 266 273 304 312 336 364 384 399 416 448 456 494 532 546 608 624 672 728 741 798 832 896 912 988 1064 1092 1216 1248 1344 1456 1482 1596 1664 1729 1824 1976 2128 2184 2432 2496 2688 2912 2964 3192 3458 3648 3952 4256 4368 4992 5187 5824 5928 6384 6916 7296 7904 8512 8736 10374 11648 11856 12768 13832 15808 17024 17472 20748 23712 25536 27664 31616 34944 41496 47424 51072 55328 82992 94848 110656 165984 221312 331968 663936