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665338112 = 28173232
BaseRepresentation
bin100111101010000…
…100000100000000
31201100221200022022
4213222010010000
52330311304422
6150004301012
722326165155
oct4752040400
91640850268
10665338112
1131162540a
121669a1768
13a7ac44ba
146451422c
153d627342
hex27a84100

665338112 has 108 divisors (see below), whose sum is σ = 1475083260. Its totient is φ = 299487232.

The previous prime is 665338109. The next prime is 665338139. The reversal of 665338112 is 211833566.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 366186496 + 299151616 = 19136^2 + 17296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28927733 + ... + 28927755.

Almost surely, 2665338112 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 665338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737541630).

665338112 is an abundant number, since it is smaller than the sum of its proper divisors (809745148).

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

665338112 is an frugal number, since it uses more digits than its factorization.

665338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 42 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 665338112 is about 25794.1487938641. The cubic root of 665338112 is about 872.9997791274. Note that the first 3 decimals are identical.

The spelling of 665338112 in words is "six hundred sixty-five million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 289 368 391 529 544 578 736 782 1058 1088 1156 1472 1564 2116 2176 2312 2944 3128 4232 4352 4624 4913 5888 6256 6647 8464 8993 9248 9826 12512 13294 16928 17986 18496 19652 25024 26588 33856 35972 36992 39304 50048 53176 67712 71944 73984 78608 100096 106352 112999 135424 143888 152881 157216 212704 225998 287776 305762 314432 425408 451996 575552 611524 628864 850816 903992 1151104 1223048 1257728 1701632 1807984 2302208 2446096 2598977 3615968 4892192 5197954 7231936 9784384 10395908 14463872 19568768 20791816 28927744 39137536 41583632 83167264 166334528 332669056 665338112