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989850960 = 243257228057
BaseRepresentation
bin111010111111111…
…110110101010000
32112222120122020200
4322333332311100
54011400212320
6242115535200
733346410600
oct7277766520
92488518220
10989850960
1146882174a
122375ba500
1312a0c5837
1495668c00
155bd79290
hex3affed50

989850960 has 180 divisors, whose sum is σ = 3867121908. Its totient is φ = 226243584.

The previous prime is 989850937. The next prime is 989850971. The reversal of 989850960 is 69058989.

It can be written as a sum of positive squares in 2 ways, for example, as 444535056 + 545315904 = 21084^2 + 23352^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 989850897 and 989850906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21252 + ... + 49308.

Almost surely, 2989850960 is an apocalyptic number.

989850960 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 989850960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933560954).

989850960 is an abundant number, since it is smaller than the sum of its proper divisors (2877270948).

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

989850960 is a wasteful number, since it uses less digits than its factorization.

989850960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28090 (or 28074 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 989850960 is about 31461.8969548881. The cubic root of 989850960 is about 996.6054769178.

The spelling of 989850960 in words is "nine hundred eighty-nine million, eight hundred fifty thousand, nine hundred sixty".