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83032 = 2397107
BaseRepresentation
bin10100010001011000
311012220021
4110101120
510124112
61440224
7464035
oct242130
9135807
1083032
1157424
1240074
132ba41
142238c
1519907
hex14458

83032 has 16 divisors (see below), whose sum is σ = 158760. Its totient is φ = 40704.

The previous prime is 83023. The next prime is 83047. The reversal of 83032 is 23038.

It is a happy number.

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

It is a plaindrome in base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 82997 and 83015.

It is a congruent number.

It is an unprimeable number.

83032 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 3 ways as a sum of consecutive naturals, for example, 723 + ... + 829.

283032 is an apocalyptic number.

It is an amenable number.

83032 is a deficient number, since it is larger than the sum of its proper divisors (75728).

83032 is a wasteful number, since it uses less digits than its factorization.

83032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 83032 is about 288.1527372766. The cubic root of 83032 is about 43.6263118682.

The spelling of 83032 in words is "eighty-three thousand, thirty-two".

Divisors: 1 2 4 8 97 107 194 214 388 428 776 856 10379 20758 41516 83032