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1083108 = 2231353131
BaseRepresentation
bin100001000011011100100
32001000202010
410020123210
5234124413
635114220
712130515
oct4103344
92030663
101083108
1167a834
12442970
132bbcc0
14202a0c
15165dc3
hex1086e4

1083108 has 48 divisors (see below), whose sum is σ = 2794176. Its totient is φ = 324480.

The previous prime is 1083107. The next prime is 1083113. The reversal of 1083108 is 8013801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083107) 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, 8203 + ... + 8333.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

21083108 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 1083108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088).

1083108 is an abundant number, since it is smaller than the sum of its proper divisors (1711068).

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

1083108 is a wasteful number, since it uses less digits than its factorization.

1083108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1083108 is about 1040.7247474717. The cubic root of 1083108 is about 102.6968811579.

Adding to 1083108 its reverse (8013801), we get a palindrome (9096909).

It can be divided in two parts, 1083 and 108, that multiplied together give a square (116964 = 3422).

The spelling of 1083108 in words is "one million, eighty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 131 156 159 212 262 318 393 524 636 689 786 1378 1572 1703 2067 2756 3406 4134 5109 6812 6943 8268 10218 13886 20436 20829 27772 41658 83316 90259 180518 270777 361036 541554 1083108