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1980703368 = 23347835261
BaseRepresentation
bin111011000001111…
…0010001010001000
312010001001011020000
41312003302022020
513024030001433
6524313203000
7100040462250
oct16603621210
95101034200
101980703368
11927067836
12473400460
1325747c137
1414b0b4960
15b8d50113
hex760f2288

1980703368 has 160 divisors (see below), whose sum is σ = 6417956160. Its totient is φ = 558990720.

The previous prime is 1980703343. The next prime is 1980703421. The reversal of 1980703368 is 8633070891.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 373858 + ... + 379118.

It is an arithmetic number, because the mean of its divisors is an integer number (40112226).

Almost surely, 21980703368 is an apocalyptic number.

1980703368 is a gapful number since it is divisible by the number (18) 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 1980703368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208978080).

1980703368 is an abundant number, since it is smaller than the sum of its proper divisors (4437252792).

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

1980703368 is a wasteful number, since it uses less digits than its factorization.

1980703368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1980703368 is about 44505.0937309428. The cubic root of 1980703368 is about 1255.8559089979.

The spelling of 1980703368 in words is "one billion, nine hundred eighty million, seven hundred three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 162 166 168 189 216 249 252 324 332 378 498 504 567 581 648 664 747 756 996 1134 1162 1494 1512 1743 1992 2241 2268 2324 2988 3486 4482 4536 4648 5229 5261 5976 6723 6972 8964 10458 10522 13446 13944 15687 15783 17928 20916 21044 26892 31374 31566 36827 41832 42088 47061 47349 53784 62748 63132 73654 94122 94698 110481 125496 126264 142047 147308 188244 189396 220962 284094 294616 331443 376488 378792 426141 436663 441924 568188 662886 852282 873326 883848 994329 1136376 1309989 1325772 1704564 1746652 1988658 2619978 2651544 2982987 3056641 3409128 3493304 3929967 3977316 5239956 5965974 6113282 7859934 7954632 9169923 10479912 11789901 11931948 12226564 15719868 18339846 23579802 23863896 24453128 27509769 31439736 35369703 36679692 47159604 55019538 70739406 73359384 82529307 94319208 110039076 141478812 165058614 220078152 247587921 282957624 330117228 495175842 660234456 990351684 1980703368