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83091138 = 231317223281
BaseRepresentation
bin1001111001111…
…01111011000010
312210100110121120
410330331323002
5132232404023
612124533110
72026156134
oct474757302
9183313546
1083091138
11429a2669
12239b1196
13142a3370
14b06d054
1574648e3
hex4f3dec2

83091138 has 64 divisors (see below), whose sum is σ = 191020032. Its totient is φ = 23869440.

The previous prime is 83091137. The next prime is 83091149. The reversal of 83091138 is 83119038.

It is a junction number, because it is equal to n+sod(n) for n = 83091099 and 83091108.

It is not an unprimeable number, because it can be changed into a prime (83091137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295558 + ... + 295838.

It is an arithmetic number, because the mean of its divisors is an integer number (2984688).

Almost surely, 283091138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83091138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95510016).

83091138 is an abundant number, since it is smaller than the sum of its proper divisors (107928894).

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

83091138 is a wasteful number, since it uses less digits than its factorization.

83091138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 83091138 is about 9115.4340543937. The cubic root of 83091138 is about 436.3666675373.

The spelling of 83091138 in words is "eighty-three million, ninety-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 223 281 442 446 562 663 669 843 1326 1338 1686 2899 3653 3791 4777 5798 7306 7582 8697 9554 10959 11373 14331 17394 21918 22746 28662 49283 62101 62663 98566 124202 125326 147849 186303 187989 295698 372606 375978 814619 1065271 1629238 2130542 2443857 3195813 4887714 6391626 13848523 27697046 41545569 83091138