Search a number
-
+
2600104 = 2313231087
BaseRepresentation
bin1001111010110010101000
311220002200011
421322302220
51131200404
6131421304
731046323
oct11726250
94802604
102600104
111516551
12a54834
13700630
144b97ba
15365604
hex27aca8

2600104 has 32 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 1146816.

The previous prime is 2600089. The next prime is 2600113. The reversal of 2600104 is 4010062.

2600104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 3.

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 7 ways as a sum of consecutive naturals, for example, 1849 + ... + 2935.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

22600104 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 2600104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

2600104 is an abundant number, since it is smaller than the sum of its proper divisors (2883416).

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

2600104 is a wasteful number, since it uses less digits than its factorization.

2600104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2600104 is about 1612.4837983682. The cubic root of 2600104 is about 137.5087201081.

Adding to 2600104 its reverse (4010062), we get a palindrome (6610166).

It can be divided in two parts, 2600 and 104, that multiplied together give a square (270400 = 5202).

The spelling of 2600104 in words is "two million, six hundred thousand, one hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1087 1196 2174 2392 4348 8696 14131 25001 28262 50002 56524 100004 113048 200008 325013 650026 1300052 2600104