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2680110 = 232597307
BaseRepresentation
bin1010001110010100101110
312001011102100
422032110232
51141230420
6133235530
731531506
oct12162456
95034370
102680110
111570674
12a92ba6
1372ab84
144daa06
1537e190
hex28e52e

2680110 has 48 divisors (see below), whose sum is σ = 7063056. Its totient is φ = 705024.

The previous prime is 2680109. The next prime is 2680123. The reversal of 2680110 is 110862.

2680110 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 2×26801102 = 14365979224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 8577 + ... + 8883.

It is an arithmetic number, because the mean of its divisors is an integer number (147147).

22680110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531528).

2680110 is an abundant number, since it is smaller than the sum of its proper divisors (4382946).

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

2680110 is a wasteful number, since it uses less digits than its factorization.

2680110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2680110 is about 1637.1041506270. The cubic root of 2680110 is about 138.9048915487.

Adding to 2680110 its reverse (110862), we get a palindrome (2790972).

The spelling of 2680110 in words is "two million, six hundred eighty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 307 485 582 614 873 921 970 1455 1535 1746 1842 2763 2910 3070 4365 4605 5526 8730 9210 13815 27630 29779 59558 89337 148895 178674 268011 297790 446685 536022 893370 1340055 2680110