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84280 = 2357243
BaseRepresentation
bin10100100100111000
311021121111
4110210320
510144110
61450104
7500500
oct244470
9137544
1084280
1158359
1240934
132c491
1422a00
1519e8a
hex14938

84280 has 48 divisors (see below), whose sum is σ = 225720. Its totient is φ = 28224.

The previous prime is 84263. The next prime is 84299. The reversal of 84280 is 8248.

It is a congruent number.

It is an unprimeable number.

84280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1939 + ... + 1981.

284280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112860).

84280 is an abundant number, since it is smaller than the sum of its proper divisors (141440).

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

84280 is a wasteful number, since it uses less digits than its factorization.

84280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 84280 is about 290.3101789466. The cubic root of 84280 is about 43.8437987544.

The spelling of 84280 in words is "eighty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1960 2107 2408 3010 4214 6020 8428 10535 12040 16856 21070 42140 84280