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1989437760 = 2634576753
BaseRepresentation
bin111011010010100…
…0110100101000000
312010122110220120000
41312211012211000
513033244002020
6525224320000
7100204641042
oct16645064500
95118426500
101989437760
11930a93042
12476313000
1325921990b
1414c309a92
15b99c8090
hex76946940

1989437760 has 140 divisors (see below), whose sum is σ = 7076872308. Its totient is φ = 530509824.

The previous prime is 1989437743. The next prime is 1989437773. The reversal of 1989437760 is 677349891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 281434176 + 1708003584 = 16776^2 + 41328^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1989437697 and 1989437706.

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 19 ways as a sum of consecutive naturals, for example, 12457 + ... + 64296.

Almost surely, 21989437760 is an apocalyptic number.

1989437760 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 1989437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538436154).

1989437760 is an abundant number, since it is smaller than the sum of its proper divisors (5087434548).

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

1989437760 is an equidigital number, since it uses as much as digits as its factorization.

1989437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76782 (or 76763 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1989437760 is about 44603.1137926491. The cubic root of 1989437760 is about 1257.6992025934.

The spelling of 1989437760 in words is "one billion, nine hundred eighty-nine million, four hundred thirty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 76753 153506 230259 307012 383765 460518 614024 690777 767530 921036 1151295 1228048 1381554 1535060 1842072 2072331 2302590 2456096 2763108 3070120 3453885 3684144 4144662 4605180 4912192 5526216 6140240 6216993 6907770 7368288 8289324 9210360 10361655 11052432 12280480 12433986 13815540 14736576 16578648 18420720 20723310 22104864 24560960 24867972 27631080 31084965 33157296 36841440 41446620 44209728 49735944 55262160 62169930 66314592 73682880 82893240 99471888 110524320 124339860 132629184 165786480 198943776 221048640 248679720 331572960 397887552 497359440 663145920 994718880 1989437760