Search a number
-
+
6876738 = 2341117227
BaseRepresentation
bin11010001110111001000010
3110221101010000
4122032321002
53230023423
6403220430
7112310541
oct32167102
913841100
106876738
113977660
122377716
13156a09b
14cb0158
1590c843
hex68ee42

6876738 has 80 divisors (see below), whose sum is σ = 17877024. Its totient is φ = 1952640.

The previous prime is 6876731. The next prime is 6876767. The reversal of 6876738 is 8376786.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6876693 and 6876702.

It is not an unprimeable number, because it can be changed into a prime (6876731) 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 39 ways as a sum of consecutive naturals, for example, 30181 + ... + 30407.

Almost surely, 26876738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6876738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938512).

6876738 is an abundant number, since it is smaller than the sum of its proper divisors (11000286).

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

6876738 is a wasteful number, since it uses less digits than its factorization.

6876738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 6876738 is about 2622.3535230781. The cubic root of 6876738 is about 190.1636447944.

The spelling of 6876738 in words is "six million, eight hundred seventy-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 227 297 306 374 454 459 561 594 681 891 918 1122 1362 1377 1683 1782 2043 2497 2754 3366 3859 4086 4994 5049 6129 7491 7718 10098 11577 12258 14982 15147 18387 22473 23154 30294 34731 36774 42449 44946 67419 69462 84898 104193 127347 134838 202257 208386 254694 312579 382041 404514 625158 764082 1146123 2292246 3438369 6876738