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5105835 = 34571801
BaseRepresentation
bin10011011110100010101011
3100121101220000
4103132202223
52301341320
6301234043
761253550
oct23364253
910541800
105105835
1129780a9
121862923
13109a007
1496ca27
156acc90
hex4de8ab

5105835 has 40 divisors (see below), whose sum is σ = 10466016. Its totient is φ = 2332800.

The previous prime is 5105833. The next prime is 5105843. The reversal of 5105835 is 5385015.

It is not a de Polignac number, because 5105835 - 21 = 5105833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5105799 and 5105808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105833) 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 39 ways as a sum of consecutive naturals, for example, 1935 + ... + 3735.

Almost surely, 25105835 is an apocalyptic number.

5105835 is an abundant number, since it is smaller than the sum of its proper divisors (5360181).

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

5105835 is a wasteful number, since it uses less digits than its factorization.

5105835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5105835 is about 2259.6094795340. The cubic root of 5105835 is about 172.1956827336.

The spelling of 5105835 in words is "five million, one hundred five thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1801 2835 5403 9005 12607 16209 27015 37821 48627 63035 81045 113463 145881 189105 243135 340389 567315 729405 1021167 1701945 5105835