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1668008430 = 2335114631213
BaseRepresentation
bin110001101101011…
…1100100111101110
311022020122121102000
41203122330213232
511404002232210
6433303113130
756222560224
oct14332744756
94266577360
101668008430
11786602470
123a67427a6
13207757c4a
1411b758b14
159b684ac0
hex636bc9ee

1668008430 has 128 divisors (see below), whose sum is σ = 4866877440. Its totient is φ = 403159680.

The previous prime is 1668008429. The next prime is 1668008437. The reversal of 1668008430 is 348008661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668008437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1374504 + ... + 1375716.

It is an arithmetic number, because the mean of its divisors is an integer number (38022480).

Almost surely, 21668008430 is an apocalyptic number.

1668008430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668008430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433438720).

1668008430 is an abundant number, since it is smaller than the sum of its proper divisors (3198869010).

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

1668008430 is a wasteful number, since it uses less digits than its factorization.

1668008430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1668008430 is about 40841.2589179129. The cubic root of 1668008430 is about 1185.9491834216.

The spelling of 1668008430 in words is "one billion, six hundred sixty-eight million, eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 463 495 594 926 990 1213 1389 1485 2315 2426 2778 2970 3639 4167 4630 5093 6065 6945 7278 8334 10186 10917 12130 12501 13343 13890 15279 18195 20835 21834 25002 25465 26686 30558 32751 36390 40029 41670 45837 50930 54585 62505 65502 66715 76395 80058 91674 109170 120087 125010 133430 137511 152790 163755 200145 229185 240174 275022 327510 360261 400290 458370 561619 600435 687555 720522 1123238 1200870 1375110 1684857 1801305 2808095 3369714 3602610 5054571 5616190 6177809 8424285 10109142 12355618 15163713 16848570 18533427 25272855 30327426 30889045 37066854 50545710 55600281 61778090 75818565 92667135 111200562 151637130 166800843 185334270 278001405 333601686 556002810 834004215 1668008430