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850727040 = 273541101107
BaseRepresentation
bin110010101101010…
…001000010000000
32012021210102002220
4302231101002000
53220241231130
6220230011040
730040026522
oct6255210200
92167712086
10850727040
113a72388a9
121b8aa6a80
131073341a7
1480db1a12
154ea47410
hex32b51080

850727040 has 256 divisors, whose sum is σ = 2831552640. Its totient is φ = 217088000.

The previous prime is 850727027. The next prime is 850727057. The reversal of 850727040 is 40727058.

It is a junction number, because it is equal to n+sod(n) for n = 850726992 and 850727010.

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, 7950667 + ... + 7950773.

Almost surely, 2850727040 is an apocalyptic number.

850727040 is a gapful number since it is divisible by the number (80) 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 850727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415776320).

850727040 is an abundant number, since it is smaller than the sum of its proper divisors (1980825600).

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

850727040 is a wasteful number, since it uses less digits than its factorization.

850727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 850727040 is about 29167.2254422665. The cubic root of 850727040 is about 947.5382393953.

The spelling of 850727040 in words is "eight hundred fifty million, seven hundred twenty-seven thousand, forty".