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1668331720 = 2351117297691
BaseRepresentation
bin110001101110000…
…1011100011001000
311022021021000212201
41203130023203020
511404043103340
6433314045544
756225404606
oct14334134310
94267230781
101668331720
11786803350
123a68798b4
1320783c143
1411b800876
159b6ea79a
hex6370b8c8

1668331720 has 128 divisors (see below), whose sum is σ = 4485974400. Its totient is φ = 551219200.

The previous prime is 1668331663. The next prime is 1668331723. The reversal of 1668331720 is 271338661.

It is a self number, because there is not a number n which added to its sum of digits gives 1668331720.

It is not an unprimeable number, because it can be changed into a prime (1668331723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213075 + ... + 220765.

It is an arithmetic number, because the mean of its divisors is an integer number (35046675).

Almost surely, 21668331720 is an apocalyptic number.

1668331720 is a gapful number since it is divisible by the number (10) 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 1668331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242987200).

1668331720 is an abundant number, since it is smaller than the sum of its proper divisors (2817642680).

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

1668331720 is a wasteful number, since it uses less digits than its factorization.

1668331720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 1668331720 is about 40845.2166110060. The cubic root of 1668331720 is about 1186.0257978913.

The spelling of 1668331720 in words is "one billion, six hundred sixty-eight million, three hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 68 85 88 110 116 136 145 170 187 220 232 290 319 340 374 440 493 580 638 680 748 935 986 1160 1276 1496 1595 1870 1972 2465 2552 3190 3740 3944 4930 5423 6380 7480 7691 9860 10846 12760 15382 19720 21692 27115 30764 38455 43384 54230 61528 76910 84601 108460 130747 153820 169202 216920 223039 261494 307640 338404 423005 446078 522988 653735 676808 846010 892156 1045976 1115195 1307470 1438217 1692020 1784312 2230390 2453429 2614940 2876434 3384040 3791663 4460780 4906858 5229880 5752868 7191085 7583326 8921560 9813716 11505736 12267145 14382170 15166652 18958315 19627432 24534290 28764340 30333304 37916630 41708293 49068580 57528680 75833260 83416586 98137160 151666520 166833172 208541465 333666344 417082930 834165860 1668331720