Search a number
-
+
668291360 = 25511431881
BaseRepresentation
bin100111110101010…
…101000100100000
31201120111201101212
4213311111010200
52332040310420
6150151445252
722363245212
oct4765250440
91646451355
10668291360
11313262210
12167986828
13a85b9799
1464a825b2
153da0c3c5
hex27d55120

668291360 has 96 divisors (see below), whose sum is σ = 1728324864. Its totient is φ = 242176000.

The previous prime is 668291359. The next prime is 668291383. The reversal of 668291360 is 63192866.

It is a super-2 number, since 2×6682913602 = 893226683701299200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758120 + ... + 759000.

It is an arithmetic number, because the mean of its divisors is an integer number (18003384).

Almost surely, 2668291360 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 668291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864162432).

668291360 is an abundant number, since it is smaller than the sum of its proper divisors (1060033504).

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

668291360 is a wasteful number, since it uses less digits than its factorization.

668291360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 668291360 is about 25851.3318805821. The cubic root of 668291360 is about 874.2895392122.

The spelling of 668291360 in words is "six hundred sixty-eight million, two hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 431 440 862 880 881 1724 1760 1762 2155 3448 3524 4310 4405 4741 6896 7048 8620 8810 9482 9691 13792 14096 17240 17620 18964 19382 23705 28192 34480 35240 37928 38764 47410 48455 68960 70480 75856 77528 94820 96910 140960 151712 155056 189640 193820 310112 379280 379711 387640 758560 759422 775280 1518844 1550560 1898555 3037688 3797110 4176821 6075376 7594220 8353642 12150752 15188440 16707284 20884105 30376880 33414568 41768210 60753760 66829136 83536420 133658272 167072840 334145680 668291360