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6876090 = 234513653
BaseRepresentation
bin11010001110101110111010
3110221100020000
4122032232322
53230013330
6403213430
7112305624
oct32165672
913840200
106876090
113977121
122377276
1315699c0
14cadc14
1590c560
hex68ebba

6876090 has 80 divisors (see below), whose sum is σ = 19941768. Its totient is φ = 1689984.

The previous prime is 6876073. The next prime is 6876091. The reversal of 6876090 is 906786.

It can be written as a sum of positive squares in 4 ways, for example, as 3337929 + 3538161 = 1827^2 + 1881^2 .

It is a super-2 number, since 2×68760902 = 94561227376200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6876091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10204 + ... + 10856.

Almost surely, 26876090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6876090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970884).

6876090 is an abundant number, since it is smaller than the sum of its proper divisors (13065678).

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

6876090 is a wasteful number, since it uses less digits than its factorization.

6876090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6876090 is about 2622.2299670319. The cubic root of 6876090 is about 190.1576715208.

It can be divided in two parts, 6 and 876090, that added together give a square (876096 = 9362).

The spelling of 6876090 in words is "six million, eight hundred seventy-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 653 702 810 1053 1170 1306 1755 1959 2106 3265 3510 3918 5265 5877 6530 8489 9795 10530 11754 16978 17631 19590 25467 29385 35262 42445 50934 52893 58770 76401 84890 88155 105786 127335 152802 176310 229203 254670 264465 382005 458406 528930 687609 764010 1146015 1375218 2292030 3438045 6876090