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10589082 = 237536771
BaseRepresentation
bin101000011001…
…001110011010
3201220222111020
4220121032122
510202322312
61014543310
7156001650
oct50311632
921828436
1010589082
115a82809
123667b36
132269a3a
141598dd0
15de278c
hexa1939a

10589082 has 64 divisors (see below), whose sum is σ = 25380864. Its totient is φ = 2882880.

The previous prime is 10589077. The next prime is 10589083. The reversal of 10589082 is 28098501.

It is a happy number.

It is a super-2 number, since 2×105890822 = 224257315205448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10589083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149107 + ... + 149177.

It is an arithmetic number, because the mean of its divisors is an integer number (396576).

Almost surely, 210589082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10589082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690432).

10589082 is an abundant number, since it is smaller than the sum of its proper divisors (14791782).

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

10589082 is a wasteful number, since it uses less digits than its factorization.

10589082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10589082 is about 3254.0869687210. The cubic root of 10589082 is about 219.5934779301.

The spelling of 10589082 in words is "ten million, five hundred eighty-nine thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 53 67 71 106 134 142 159 201 213 318 371 402 426 469 497 742 938 994 1113 1407 1491 2226 2814 2982 3551 3763 4757 7102 7526 9514 10653 11289 14271 21306 22578 24857 26341 28542 33299 49714 52682 66598 74571 79023 99897 149142 158046 199794 252121 504242 756363 1512726 1764847 3529694 5294541 10589082