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989784680 = 235791033041
BaseRepresentation
bin111010111111101…
…110101001101000
32112222110021022212
4322333232221220
54011341102210
6242114304252
733346013423
oct7277565150
92488407285
10989784680
11468786975
12237588088
1312a0a1611
149564c9ba
155bd64805
hex3afeea68

989784680 has 64 divisors (see below), whose sum is σ = 2277849600. Its totient is φ = 386979840.

The previous prime is 989784671. The next prime is 989784683. The reversal of 989784680 is 86487989.

It is not an unprimeable number, because it can be changed into a prime (989784683) 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 15 ways as a sum of consecutive naturals, for example, 323960 + ... + 327000.

It is an arithmetic number, because the mean of its divisors is an integer number (35591400).

Almost surely, 2989784680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989784680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138924800).

989784680 is an abundant number, since it is smaller than the sum of its proper divisors (1288064920).

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

989784680 is a wasteful number, since it uses less digits than its factorization.

989784680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The square root of 989784680 is about 31460.8435996240. The cubic root of 989784680 is about 996.5832323281.

The spelling of 989784680 in words is "nine hundred eighty-nine million, seven hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 79 103 158 206 316 395 412 515 632 790 824 1030 1580 2060 3041 3160 4120 6082 8137 12164 15205 16274 24328 30410 32548 40685 60820 65096 81370 121640 162740 240239 313223 325480 480478 626446 960956 1201195 1252892 1566115 1921912 2402390 2505784 3132230 4804780 6264460 9609560 12528920 24744617 49489234 98978468 123723085 197956936 247446170 494892340 989784680