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665485920 = 253251142013
BaseRepresentation
bin100111101010101…
…000001001100000
31201101020012001200
4213222220021200
52330331022140
6150011401200
722330352121
oct4752501140
91641205050
10665485920
11311716470
12166a53200
13a7b46868
1464552048
153d656030
hex27aa8260

665485920 has 144 divisors (see below), whose sum is σ = 2477481552. Its totient is φ = 161326080.

The previous prime is 665485913. The next prime is 665485921. The reversal of 665485920 is 29584566.

665485920 is a `hidden beast` number, since 6 + 6 + 54 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665485921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5167 + ... + 36846.

It is an arithmetic number, because the mean of its divisors is an integer number (17204733).

Almost surely, 2665485920 is an apocalyptic number.

665485920 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 665485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238740776).

665485920 is an abundant number, since it is smaller than the sum of its proper divisors (1811995632).

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

665485920 is a wasteful number, since it uses less digits than its factorization.

665485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42045 (or 42034 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 665485920 is about 25797.0137806685. The cubic root of 665485920 is about 873.0644213471.

The spelling of 665485920 in words is "six hundred sixty-five million, four hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 42013 84026 126039 168052 210065 252078 336104 378117 420130 462143 504156 630195 672208 756234 840260 924286 1008312 1260390 1344416 1386429 1512468 1680520 1848572 1890585 2016624 2310715 2520780 2772858 3024936 3361040 3697144 3781170 4033248 4159287 4621430 5041560 5545716 6049872 6722080 6932145 7394288 7562340 8318574 9242860 10083120 11091432 12099744 13864290 14788576 15124680 16637148 18485720 20166240 20796435 22182864 27728580 30249360 33274296 36971440 41592870 44365728 55457160 60498720 66548592 73942880 83185740 110914320 133097184 166371480 221828640 332742960 665485920