Search a number
-
+
6840001 = 717229251
BaseRepresentation
bin11010000101111011000001
3110212111201101
4122011323001
53222340001
6402334401
7112065460
oct32057301
913774641
106840001
113951aa3
12235a401
13155644c
14ca09d7
15901a01
hex685ec1

6840001 has 16 divisors (see below), whose sum is σ = 8346240. Its totient is φ = 5472000.

The previous prime is 6839983. The next prime is 6840013. The reversal of 6840001 is 1000486.

Adding to 6840001 its reverse (1000486), we get a palindrome (7840487).

It is a 2-Lehmer number, since φ(6840001) divides (6840001-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 6840001 - 27 = 6839873 is a prime.

It is a super-2 number, since 2×68400012 = 93571227360002, which contains 22 as substring.

It is a deceptive number, since it divides R6840000.

It is not an unprimeable number, because it can be changed into a prime (6840061) 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 15 ways as a sum of consecutive naturals, for example, 27126 + ... + 27376.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

It is a Poulet number, since it divides 26840000-1.

Almost surely, 26840001 is an apocalyptic number.

It is an amenable number.

6840001 is a deficient number, since it is larger than the sum of its proper divisors (1506239).

6840001 is a wasteful number, since it uses less digits than its factorization.

6840001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 6840001 is about 2615.3395573042. The cubic root of 6840001 is about 189.8244084113.

The spelling of 6840001 in words is "six million, eight hundred forty thousand, one".

Divisors: 1 7 17 119 229 251 1603 1757 3893 4267 27251 29869 57479 402353 977143 6840001