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83056 = 2429179
BaseRepresentation
bin10100010001110000
311012221011
4110101300
510124211
61440304
7464101
oct242160
9135834
1083056
1157446
1240094
132ba5c
14223a8
1519921
hex14470

83056 has 20 divisors (see below), whose sum is σ = 167400. Its totient is φ = 39872.

The previous prime is 83047. The next prime is 83059. The reversal of 83056 is 65038.

83056 is nontrivially palindromic in base 3.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83059) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

283056 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 83056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83700).

83056 is an abundant number, since it is smaller than the sum of its proper divisors (84344).

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

83056 is a wasteful number, since it uses less digits than its factorization.

83056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 83056 is about 288.1943788487. The cubic root of 83056 is about 43.6305147885.

The spelling of 83056 in words is "eighty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 29 58 116 179 232 358 464 716 1432 2864 5191 10382 20764 41528 83056