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5135923 = 132389193
BaseRepresentation
bin10011100101111000110011
3100122221011101
4103211320303
52303322143
6302025231
761440352
oct23457063
910587141
105135923
112998771
121878217
1310aa910
14979999
156b6b4d
hex4e5e33

5135923 has 16 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 4460544.

The previous prime is 5135917. The next prime is 5135953. The reversal of 5135923 is 3295315.

5135923 = 223 + 233 + ... + 673.

It is a 12-Lehmer number, since φ(5135923) divides (5135923-1)12.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5135923 is a prime.

It is a Duffinian number.

5135923 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5135891 and 5135900.

It is not an unprimeable number, because it can be changed into a prime (5135953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26515 + ... + 26707.

It is an arithmetic number, because the mean of its divisors is an integer number (366660).

Almost surely, 25135923 is an apocalyptic number.

5135923 is a deficient number, since it is larger than the sum of its proper divisors (730637).

5135923 is a wasteful number, since it uses less digits than its factorization.

5135923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its digits is 4050, while the sum is 28.

The square root of 5135923 is about 2266.2574875773. The cubic root of 5135923 is about 172.5332625068.

The spelling of 5135923 in words is "five million, one hundred thirty-five thousand, nine hundred twenty-three".

Divisors: 1 13 23 89 193 299 1157 2047 2509 4439 17177 26611 57707 223301 395071 5135923