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2680290 = 23551103
BaseRepresentation
bin1010001110010111100010
312001011200000
422032113202
51141232130
6133240430
731532154
oct12162742
95034600
102680290
111570818
12a93116
1372ac92
144daad4
1537e260
hex28e5e2

2680290 has 48 divisors (see below), whose sum is σ = 7233408. Its totient is φ = 714096.

The previous prime is 2680283. The next prime is 2680297. The reversal of 2680290 is 920862.

2680290 is nontrivially palindromic in base 14.

2680290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2680283) and next prime (2680297).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2680297) 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, 1879 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (150696).

22680290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704).

2680290 is an abundant number, since it is smaller than the sum of its proper divisors (4553118).

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

2680290 is a wasteful number, since it uses less digits than its factorization.

2680290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2680290 is about 1637.1591248257. The cubic root of 2680290 is about 138.9080011625.

The spelling of 2680290 in words is "two million, six hundred eighty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1103 1215 2206 2430 3309 5515 6618 9927 11030 16545 19854 29781 33090 49635 59562 89343 99270 148905 178686 268029 297810 446715 536058 893430 1340145 2680290