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40431105 = 325111361103
BaseRepresentation
bin1001101000111…
…0111000000001
32211002010001100
42122032320001
540322243410
64002325013
71000441641
oct232167001
984063040
1040431105
1120905540
1211659769
1384b7b40
145526521
1538398c0
hex268ee01

40431105 has 96 divisors (see below), whose sum is σ = 84494592. Its totient is φ = 17625600.

The previous prime is 40431089. The next prime is 40431109. The reversal of 40431105 is 50113404.

It is a happy number.

It is not a de Polignac number, because 40431105 - 24 = 40431089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40431109) 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 95 ways as a sum of consecutive naturals, for example, 392484 + ... + 392586.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 240431105 is an apocalyptic number.

40431105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40431105 is an abundant number, since it is smaller than the sum of its proper divisors (44063487).

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

40431105 is a wasteful number, since it uses less digits than its factorization.

40431105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40431105 is about 6358.5458243218. The cubic root of 40431105 is about 343.2194336315.

Adding to 40431105 its reverse (50113404), we get a palindrome (90544509).

The spelling of 40431105 in words is "forty million, four hundred thirty-one thousand, one hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 61 65 99 103 117 143 165 183 195 305 309 429 495 515 549 585 671 715 793 915 927 1133 1287 1339 1545 2013 2145 2379 2745 3355 3399 3965 4017 4635 5665 6039 6283 6435 6695 7137 8723 10065 10197 11895 12051 14729 16995 18849 20085 26169 30195 31415 35685 43615 44187 50985 56547 60255 69113 73645 78507 81679 94245 130845 132561 207339 220935 245037 282735 345565 392535 408395 622017 662805 735111 898469 1036695 1225185 2695407 3110085 3675555 4492345 8086221 13477035 40431105