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989563680 = 253257127773
BaseRepresentation
bin111010111110111…
…000101100100000
32112222001001011200
4322332320230200
54011312014210
6242105441200
733344103210
oct7276705440
92488031150
10989563680
11468645926
122374a0200
1312a024b51
14955d2240
155bd1e0c0
hex3afb8b20

989563680 has 288 divisors, whose sum is σ = 3894718464. Its totient is φ = 224114688.

The previous prime is 989563637. The next prime is 989563703. The reversal of 989563680 is 86365989.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1279774 + ... + 1280546.

It is an arithmetic number, because the mean of its divisors is an integer number (13523328).

Almost surely, 2989563680 is an apocalyptic number.

989563680 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 989563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947359232).

989563680 is an abundant number, since it is smaller than the sum of its proper divisors (2905154784).

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

989563680 is a wasteful number, since it uses less digits than its factorization.

989563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 989563680 is about 31457.3311010327. The cubic root of 989563680 is about 996.5090541447.

The spelling of 989563680 in words is "nine hundred eighty-nine million, five hundred sixty-three thousand, six hundred eighty".