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6746140 = 2251941433
BaseRepresentation
bin11001101111000000011100
3110200201222001
4121233000130
53211334030
6400332044
7111225022
oct31570034
913621861
106746140
113898525
122314024
1315227cb
14c78712
158d3cca
hex66f01c

6746140 has 48 divisors (see below), whose sum is σ = 15311520. Its totient is φ = 2488320.

The previous prime is 6746137. The next prime is 6746147. The reversal of 6746140 is 416476.

It is a junction number, because it is equal to n+sod(n) for n = 6746099 and 6746108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746147) 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, 15364 + ... + 15796.

It is an arithmetic number, because the mean of its divisors is an integer number (318990).

Almost surely, 26746140 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 6746140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655760).

6746140 is an abundant number, since it is smaller than the sum of its proper divisors (8565380).

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

6746140 is a wasteful number, since it uses less digits than its factorization.

6746140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 6746140 is about 2597.3332477755. Note that the first 3 decimals coincide. The cubic root of 6746140 is about 188.9521262059.

It can be divided in two parts, 6746 and 140, that added together give a palindrome (6886).

The spelling of 6746140 in words is "six million, seven hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 433 779 820 866 1558 1732 2165 3116 3895 4330 7790 8227 8660 15580 16454 17753 32908 35506 41135 71012 82270 88765 164540 177530 337307 355060 674614 1349228 1686535 3373070 6746140