Search a number
-
+
6740560 = 245109773
BaseRepresentation
bin11001101101101001010000
3110200110022101
4121231221100
53211144220
6400250144
7111202531
oct31555120
913613271
106740560
113894312
122310954
1315200c8
14c76688
158d230a
hex66da50

6740560 has 40 divisors (see below), whose sum is σ = 15836040. Its totient is φ = 2668032.

The previous prime is 6740543. The next prime is 6740597. The reversal of 6740560 is 650476.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 6574096 = 408^2 + 2564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×67405602 = 90870298227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8334 + ... + 9106.

It is an arithmetic number, because the mean of its divisors is an integer number (395901).

Almost surely, 26740560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918020).

6740560 is an abundant number, since it is smaller than the sum of its proper divisors (9095480).

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

6740560 is a wasteful number, since it uses less digits than its factorization.

6740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 6740560 is about 2596.2588468795. The cubic root of 6740560 is about 188.9000152359.

The spelling of 6740560 in words is "six million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 773 872 1090 1546 1744 2180 3092 3865 4360 6184 7730 8720 12368 15460 30920 61840 84257 168514 337028 421285 674056 842570 1348112 1685140 3370280 6740560