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6881380 = 22511311009
BaseRepresentation
bin11010010000000001100100
3110221121110221
4122100001210
53230201010
6403254124
7112330222
oct32200144
913847427
106881380
1139800a0
12237a344
13156c22c
14cb1b12
1590ddda
hex690064

6881380 has 48 divisors (see below), whose sum is σ = 16289280. Its totient is φ = 2419200.

The previous prime is 6881359. The next prime is 6881383. The reversal of 6881380 is 831886.

It is a super-4 number, since 4×68813804 (a number of 28 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (6881383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6316 + ... + 7324.

It is an arithmetic number, because the mean of its divisors is an integer number (339360).

Almost surely, 26881380 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 6881380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144640).

6881380 is an abundant number, since it is smaller than the sum of its proper divisors (9407900).

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

6881380 is a wasteful number, since it uses less digits than its factorization.

6881380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 6881380 is about 2623.2384565647. The cubic root of 6881380 is about 190.2064238508.

The spelling of 6881380 in words is "six million, eight hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1009 1364 1705 2018 3410 4036 5045 6820 10090 11099 20180 22198 31279 44396 55495 62558 110990 125116 156395 221980 312790 344069 625580 688138 1376276 1720345 3440690 6881380