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989650080 = 253251813797
BaseRepresentation
bin111010111111001…
…101110010100000
32112222012102200200
4322333031302200
54011322300310
6242111345200
733344613126
oct7277156240
92488172620
10989650080
114686a4831
12237522200
1312a055283
1495615916
155bd399c0
hex3afcdca0

989650080 has 144 divisors (see below), whose sum is σ = 3396733704. Its totient is φ = 262379520.

The previous prime is 989650037. The next prime is 989650097. The reversal of 989650080 is 80056989.

It can be written as a sum of positive squares in 4 ways, for example, as 173290896 + 816359184 = 13164^2 + 28572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258742 + ... + 262538.

Almost surely, 2989650080 is an apocalyptic number.

989650080 is a gapful number since it is divisible by the number (90) 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 989650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698366852).

989650080 is an abundant number, since it is smaller than the sum of its proper divisors (2407083624).

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

989650080 is a wasteful number, since it uses less digits than its factorization.

989650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 989650080 is about 31458.7043598429. The cubic root of 989650080 is about 996.5380554370.

The spelling of 989650080 in words is "nine hundred eighty-nine million, six hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 181 240 288 360 362 480 543 720 724 905 1086 1440 1448 1629 1810 2172 2715 2896 3258 3620 3797 4344 5430 5792 6516 7240 7594 8145 8688 10860 11391 13032 14480 15188 16290 17376 18985 21720 22782 26064 28960 30376 32580 34173 37970 43440 45564 52128 56955 60752 65160 68346 75940 86880 91128 113910 121504 130320 136692 151880 170865 182256 227820 260640 273384 303760 341730 364512 455640 546768 607520 683460 687257 911280 1093536 1366920 1374514 1822560 2061771 2733840 2749028 3436285 4123542 5467680 5498056 6185313 6872570 8247084 10308855 10996112 12370626 13745140 16494168 20617710 21992224 24741252 27490280 30926565 32988336 41235420 49482504 54980560 61853130 65976672 82470840 98965008 109961120 123706260 164941680 197930016 247412520 329883360 494825040 989650080