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83008060 = 22543263367
BaseRepresentation
bin1001111001010…
…01101000111100
312210012020122121
410330221220330
5132222224220
612123052324
72025362002
oct474515074
9183166577
1083008060
1142946203
12239710a4
13142745c5
14b04aa72
157449eaa
hex4f29a3c

83008060 has 48 divisors (see below), whose sum is σ = 179536896. Its totient is φ = 32219712.

The previous prime is 83008031. The next prime is 83008061. The reversal of 83008060 is 6080038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83008061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225997 + ... + 226363.

It is an arithmetic number, because the mean of its divisors is an integer number (3740352).

Almost surely, 283008060 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 83008060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89768448).

83008060 is an abundant number, since it is smaller than the sum of its proper divisors (96528836).

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

83008060 is a wasteful number, since it uses less digits than its factorization.

83008060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83008060 is about 9110.8759183736. The cubic root of 83008060 is about 436.2211864835.

Adding to 83008060 its reverse (6080038), we get a palindrome (89088098).

The spelling of 83008060 in words is "eighty-three million, eight thousand, sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 263 367 430 526 734 860 1052 1315 1468 1835 2630 3670 5260 7340 11309 15781 22618 31562 45236 56545 63124 78905 96521 113090 157810 193042 226180 315620 386084 482605 965210 1930420 4150403 8300806 16601612 20752015 41504030 83008060