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989870000 = 2454779179
BaseRepresentation
bin111011000000000…
…011011110110000
32112222121121100212
4323000003132300
54011401320000
6242120203252
733346520240
oct7300033660
92488547325
10989870000
11468834a89
12237609528
1312a1013c2
1495671b20
155bd7ec35
hex3b0037b0

989870000 has 200 divisors, whose sum is σ = 2789107200. Its totient is φ = 333216000.

The previous prime is 989869987. The next prime is 989870003. The reversal of 989870000 is 78989.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 989870000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989870003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5529911 + ... + 5530089.

It is an arithmetic number, because the mean of its divisors is an integer number (13945536).

Almost surely, 2989870000 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 989870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394553600).

989870000 is an abundant number, since it is smaller than the sum of its proper divisors (1799237200).

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

989870000 is a wasteful number, since it uses less digits than its factorization.

989870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 989870000 is about 31462.1995416722. The cubic root of 989870000 is about 996.6118668517.

The spelling of 989870000 in words is "nine hundred eighty-nine million, eight hundred seventy thousand".