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850080 = 253571123
BaseRepresentation
bin11001111100010100000
31121012002110
43033202200
5204200310
630115320
710140240
oct3174240
91535073
10850080
11530750
1234bb40
13239c0a
14181b20
1511bd20
hexcf8a0

850080 has 192 divisors, whose sum is σ = 3483648. Its totient is φ = 168960.

The previous prime is 850063. The next prime is 850081. The reversal of 850080 is 80058.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (850081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36949 + ... + 36971.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2850080 is an apocalyptic number.

850080 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 850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

850080 is an abundant number, since it is smaller than the sum of its proper divisors (2633568).

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

850080 is a wasteful number, since it uses less digits than its factorization.

850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 850080 is about 921.9978308001. The cubic root of 850080 is about 94.7297954473.

The spelling of 850080 in words is "eight hundred fifty thousand, eighty".