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989614080 = 21232571359
BaseRepresentation
bin111010111111000…
…101000000000000
32112222010121022100
4322333011000000
54011320122310
6242110510400
733344403150
oct7277050000
92488117270
10989614080
1146867a784
12237505400
1312a041a80
1495606760
155bd2dec0
hex3afc5000

989614080 has 624 divisors, whose sum is σ = 4293394560. Its totient is φ = 205258752.

The previous prime is 989614057. The next prime is 989614097. The reversal of 989614080 is 80416989.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16773091 + ... + 16773149.

It is an arithmetic number, because the mean of its divisors is an integer number (6880440).

Almost surely, 2989614080 is an apocalyptic number.

989614080 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 989614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146697280).

989614080 is an abundant number, since it is smaller than the sum of its proper divisors (3303780480).

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

989614080 is a wasteful number, since it uses less digits than its factorization.

989614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 989614080 is about 31458.1321759573. The cubic root of 989614080 is about 996.5259717704.

It can be divided in two parts, 98961 and 4080, that added together give a square (103041 = 3212).

The spelling of 989614080 in words is "nine hundred eighty-nine million, six hundred fourteen thousand, eighty".