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1998127320 = 233573176733
BaseRepresentation
bin111011100011001…
…0000000011011000
312011020211101101120
41313012100003120
513043010033240
6530134445240
7100341542040
oct16706200330
95136741346
101998127320
119359886a2
12479203820
1325ac6cb77
1414d52c720
15ba642ad0
hex771900d8

1998127320 has 128 divisors (see below), whose sum is σ = 7071805440. Its totient is φ = 441976320.

The previous prime is 1998127303. The next prime is 1998127331. The reversal of 1998127320 is 237218991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 12327 + ... + 64406.

It is an arithmetic number, because the mean of its divisors is an integer number (55248480).

Almost surely, 21998127320 is an apocalyptic number.

1998127320 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 1998127320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535902720).

1998127320 is an abundant number, since it is smaller than the sum of its proper divisors (5073678120).

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

1998127320 is a wasteful number, since it uses less digits than its factorization.

1998127320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76785 (or 76781 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1998127320 is about 44700.4174477152. The cubic root of 1998127320 is about 1259.5276889375.

The spelling of 1998127320 in words is "one billion, nine hundred ninety-eight million, one hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 76733 153466 230199 306932 383665 460398 537131 613864 767330 920796 1074262 1150995 1534660 1611393 1841592 2148524 2301990 2378723 2685655 3069320 3222786 4297048 4603980 4757446 5371310 6445572 7136169 8056965 9207960 9514892 10742620 11893615 12891144 14272338 16113930 16651061 19029784 21485240 23787230 28544676 32227860 33302122 35680845 47574460 49953183 57089352 64455720 66604244 71361690 83255305 95148920 99906366 133208488 142723380 166510610 199812732 249765915 285446760 333021220 399625464 499531830 666042440 999063660 1998127320