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84750 = 2353113
BaseRepresentation
bin10100101100001110
311022020220
4110230032
510203000
61452210
7502041
oct245416
9138226
1084750
1158746
1241066
132c763
1422c58
151a1a0
hex14b0e

84750 has 32 divisors (see below), whose sum is σ = 213408. Its totient is φ = 22400.

The previous prime is 84737. The next prime is 84751. The reversal of 84750 is 5748.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84751) by changing a digit.

84750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

284750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106704).

84750 is an abundant number, since it is smaller than the sum of its proper divisors (128658).

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

84750 is a wasteful number, since it uses less digits than its factorization.

84750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 84750 is about 291.1185325602. The cubic root of 84750 is about 43.9251482182.

The spelling of 84750 in words is "eighty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 125 150 226 250 339 375 565 678 750 1130 1695 2825 3390 5650 8475 14125 16950 28250 42375 84750