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2681190 = 2325313
BaseRepresentation
bin1010001110100101100110
312001012220100
422032211212
51141244230
6133244530
731534611
oct12164546
95035810
102681190
111571466
12a93746
1372b505
144db178
1537e660
hex28e966

2681190 has 48 divisors (see below), whose sum is σ = 7203456. Its totient is φ = 691920.

The previous prime is 2681183. The next prime is 2681191. The reversal of 2681190 is 911862.

2681190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26811902 = 14377559632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681191) 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 23 ways as a sum of consecutive naturals, for example, 86475 + ... + 86505.

It is an arithmetic number, because the mean of its divisors is an integer number (150072).

22681190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601728).

2681190 is an abundant number, since it is smaller than the sum of its proper divisors (4522266).

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

2681190 is an equidigital number, since it uses as much as digits as its factorization.

2681190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2681190 is about 1637.4339681343. The cubic root of 2681190 is about 138.9235471433.

The spelling of 2681190 in words is "two million, six hundred eighty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 961 1395 1922 2790 2883 4805 5766 8649 9610 14415 17298 28830 29791 43245 59582 86490 89373 148955 178746 268119 297910 446865 536238 893730 1340595 2681190