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989898760 = 235291097829
BaseRepresentation
bin111011000000001…
…010100000001000
32112222200001211001
4323000022200020
54011403230020
6242120544344
733350000134
oct7300124010
92488601731
10989898760
11468854654
122376220b4
1312a111516
149567c3c4
155bd8850a
hex3b00a808

989898760 has 64 divisors (see below), whose sum is σ = 2325510000. Its totient is φ = 378749952.

The previous prime is 989898739. The next prime is 989898781. The reversal of 989898760 is 67898989.

It is an interprime number because it is at equal distance from previous prime (989898739) and next prime (989898781).

It can be written as a sum of positive squares in 8 ways, for example, as 334231524 + 655667236 = 18282^2 + 25606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 989898692 and 989898701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122526 + ... + 130354.

Almost surely, 2989898760 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 989898760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162755000).

989898760 is an abundant number, since it is smaller than the sum of its proper divisors (1335611240).

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

989898760 is a wasteful number, since it uses less digits than its factorization.

989898760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 64.

The square root of 989898760 is about 31462.6565947633. The cubic root of 989898760 is about 996.6215187184.

The spelling of 989898760 in words is "nine hundred eighty-nine million, eight hundred ninety-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 109 116 145 218 232 290 436 545 580 872 1090 1160 2180 3161 4360 6322 7829 12644 15658 15805 25288 31316 31610 39145 62632 63220 78290 126440 156580 227041 313160 454082 853361 908164 1135205 1706722 1816328 2270410 3413444 4266805 4540820 6826888 8533610 9081640 17067220 24747469 34134440 49494938 98989876 123737345 197979752 247474690 494949380 989898760