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2086368000 = 28353103211
BaseRepresentation
bin111110001011011…
…0111001100000000
312101101212110211220
41330112313030000
513233102234000
6543010035040
7102462556353
oct17426671400
95341773756
102086368000
11980778182
124a2878a80
132733270a2
1415b13c29a
15c32731a0
hex7c5b7300

2086368000 has 288 divisors, whose sum is σ = 7030313472. Its totient is φ = 548352000.

The previous prime is 2086367981. The next prime is 2086368013. The reversal of 2086368000 is 8636802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9887895 + ... + 9888105.

Almost surely, 22086368000 is an apocalyptic number.

2086368000 is a gapful number since it is divisible by the number (20) 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 2086368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515156736).

2086368000 is an abundant number, since it is smaller than the sum of its proper divisors (4943945472).

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

2086368000 is a wasteful number, since it uses less digits than its factorization.

2086368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2086368000 is about 45676.7774695195. Note that the first 3 decimals coincide. The cubic root of 2086368000 is about 1277.8022181141.

The spelling of 2086368000 in words is "two billion, eighty-six million, three hundred sixty-eight thousand".