Search a number
-
+
6706035 = 325761349
BaseRepresentation
bin11001100101001101110011
3110121200221200
4121211031303
53204043120
6355422243
7111000060
oct31451563
913550850
106706035
113870386
1222b4983
13150a48b
14c67c67
158c6e90
hex665373

6706035 has 48 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 3006720.

The previous prime is 6706033. The next prime is 6706057. The reversal of 6706035 is 5306076.

6706035 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6706035 - 21 = 6706033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6706033) 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 47 ways as a sum of consecutive naturals, for example, 19041 + ... + 19389.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 26706035 is an apocalyptic number.

6706035 is an abundant number, since it is smaller than the sum of its proper divisors (6834765).

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

6706035 is a wasteful number, since it uses less digits than its factorization.

6706035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 6706035 is about 2589.6013206669. The cubic root of 6706035 is about 188.5769491202.

The spelling of 6706035 in words is "six million, seven hundred six thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 349 427 549 915 1047 1281 1745 2135 2443 2745 3141 3843 5235 6405 7329 12215 15705 19215 21289 21987 36645 63867 106445 109935 149023 191601 319335 447069 745115 958005 1341207 2235345 6706035