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3066580 = 2251153263
BaseRepresentation
bin1011101100101011010100
312202210120001
423230223110
51241112310
6145421044
735031316
oct13545324
95683501
103066580
111804a70
12103a784
13834a5a
1459b7b6
1540893a
hex2ecad4

3066580 has 48 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 1089920.

The previous prime is 3066571. The next prime is 3066587. The reversal of 3066580 is 856603.

3066580 = T1 + T2 + ... + T263.

3066580 is a nontrivial binomial coefficient, being equal to C(265, 3).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066587) by changing a digit.

It is the 263-rd tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11529 + ... + 11791.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

Almost surely, 23066580 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 3066580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

3066580 is an abundant number, since it is smaller than the sum of its proper divisors (4118444).

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

3066580 is a wasteful number, since it uses less digits than its factorization.

3066580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3066580 is about 1751.1653262899. The cubic root of 3066580 is about 145.2841040980.

It can be divided in two parts, 306 and 6580, that added together give a palindrome (6886).

The spelling of 3066580 in words is "three million, sixty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 263 265 526 530 583 1052 1060 1166 1315 2332 2630 2893 2915 5260 5786 5830 11572 11660 13939 14465 27878 28930 55756 57860 69695 139390 153329 278780 306658 613316 766645 1533290 3066580