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667730112 = 26372321601
BaseRepresentation
bin100111110011001…
…100000011000000
31201112110012111220
4213303030003000
52331414330422
6150131435040
722355420010
oct4763140300
91645405456
10667730112
11312a09575
12167755a80
13a845119a
1464977c40
153d94ae5c
hex27ccc0c0

667730112 has 112 divisors (see below), whose sum is σ = 2106972672. Its totient is φ = 182476800.

The previous prime is 667730087. The next prime is 667730137. The reversal of 667730112 is 211037766.

It is an interprime number because it is at equal distance from previous prime (667730087) and next prime (667730137).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20112 + ... + 41712.

It is an arithmetic number, because the mean of its divisors is an integer number (18812256).

Almost surely, 2667730112 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 667730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053486336).

667730112 is an abundant number, since it is smaller than the sum of its proper divisors (1439242560).

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

667730112 is a wasteful number, since it uses less digits than its factorization.

667730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21646 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 667730112 is about 25840.4742990526. The cubic root of 667730112 is about 874.0447205027.

Adding to 667730112 its reverse (211037766), we get a palindrome (878767878).

The spelling of 667730112 in words is "six hundred sixty-seven million, seven hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 21601 30912 43202 64803 86404 129606 151207 172808 259212 302414 345616 453621 496823 518424 604828 691232 907242 993646 1036848 1209656 1382464 1490469 1814484 1987292 2073696 2419312 2980938 3477761 3628968 3974584 4147392 4838624 5961876 6955522 7257936 7949168 9677248 10433283 11923752 13911044 14515872 15898336 20866566 23847504 27822088 29031744 31796672 41733132 47695008 55644176 83466264 95390016 111288352 166932528 222576704 333865056 667730112