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2680288 = 251317379
BaseRepresentation
bin1010001110010111100000
312001011122221
422032113200
51141232123
6133240424
731532152
oct12162740
95034587
102680288
111570816
12a93114
1372ac90
144daad2
1537e25d
hex28e5e0

2680288 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 1161216.

The previous prime is 2680283. The next prime is 2680297. The reversal of 2680288 is 8820862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6883 + ... + 7261.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

22680288 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 2680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2680288 is an abundant number, since it is smaller than the sum of its proper divisors (3352592).

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

2680288 is a wasteful number, since it uses less digits than its factorization.

2680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2680288 is about 1637.1585140114. The cubic root of 2680288 is about 138.9079666120.

The spelling of 2680288 in words is "two million, six hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 379 416 442 544 758 884 1516 1768 3032 3536 4927 6064 6443 7072 9854 12128 12886 19708 25772 39416 51544 78832 83759 103088 157664 167518 206176 335036 670072 1340144 2680288