Search a number
-
+
2606560 = 255111481
BaseRepresentation
bin1001111100010111100000
311220102112021
421330113200
51131402220
6131511224
731104205
oct11742740
94812467
102606560
111520390
12a58514
13703558
144bbcac
153674aa
hex27c5e0

2606560 has 48 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 947200.

The previous prime is 2606551. The next prime is 2606579. The reversal of 2606560 is 656062.

2606560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1020 + ... + 2500.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

22606560 is an apocalyptic number.

2606560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2606560 is an abundant number, since it is smaller than the sum of its proper divisors (4115792).

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

2606560 is a wasteful number, since it uses less digits than its factorization.

2606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 2606560 is about 1614.4844378315. The cubic root of 2606560 is about 137.6224363991.

The spelling of 2606560 in words is "two million, six hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1481 1760 2962 5924 7405 11848 14810 16291 23696 29620 32582 47392 59240 65164 81455 118480 130328 162910 236960 260656 325820 521312 651640 1303280 2606560