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686350080 = 28325134583
BaseRepresentation
bin101000111010001…
…101111100000000
31202211111012022100
4220322031330000
52401201200310
6152034510400
723002610433
oct5072157400
91684435270
10686350080
11322476a79
12171a35400
13ac270410
146722381a
15403c7ec0
hex28e8df00

686350080 has 216 divisors, whose sum is σ = 2557927008. Its totient is φ = 168910848.

The previous prime is 686350051. The next prime is 686350081. The reversal of 686350080 is 80053686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686350081) 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 23 ways as a sum of consecutive naturals, for example, 147469 + ... + 152051.

Almost surely, 2686350080 is an apocalyptic number.

686350080 is a gapful number since it is divisible by the number (60) 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 686350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278963504).

686350080 is an abundant number, since it is smaller than the sum of its proper divisors (1871576928).

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

686350080 is a wasteful number, since it uses less digits than its factorization.

686350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 686350080 is about 26198.2839132642. The cubic root of 686350080 is about 882.0947342981.

The spelling of 686350080 in words is "six hundred eighty-six million, three hundred fifty thousand, eighty".