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989960940 = 22345231632
BaseRepresentation
bin111011000000011…
…001101011101100
32112222210020010000
4323000121223230
54011412222230
6242122144300
733350346333
oct7300315354
92488706100
10989960940
11468897341
12237652090
1312a133907
1495696d1a
155bd9bb60
hex3b019aec

989960940 has 180 divisors, whose sum is σ = 3260570544. Its totient is φ = 250962624.

The previous prime is 989960899. The next prime is 989960969. The reversal of 989960940 is 49069989.

It is a happy number.

989960940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6073299 + ... + 6073461.

Almost surely, 2989960940 is an apocalyptic number.

989960940 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 989960940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630285272).

989960940 is an abundant number, since it is smaller than the sum of its proper divisors (2270609604).

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

989960940 is a wasteful number, since it uses less digits than its factorization.

989960940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 989960940 is about 31463.6447348364. The cubic root of 989960940 is about 996.6423857104.

The spelling of 989960940 in words is "nine hundred eighty-nine million, nine hundred sixty thousand, nine hundred forty".