Search a number
-
+
2280064 = 2747379
BaseRepresentation
bin1000101100101010000000
311021211122211
420230222000
51040430224
6120511504
725244263
oct10545200
94254584
102280064
111318056
1291b594
1361aa67
14434cda
15300894
hex22ca80

2280064 has 32 divisors (see below), whose sum is σ = 4651200. Its totient is φ = 1112832.

The previous prime is 2280053. The next prime is 2280071. The reversal of 2280064 is 4600822.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5827 + ... + 6205.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

22280064 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 2280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325600).

2280064 is an abundant number, since it is smaller than the sum of its proper divisors (2371136).

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

2280064 is an equidigital number, since it uses as much as digits as its factorization.

2280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2280064 is about 1509.9880794231. The cubic root of 2280064 is about 131.6181187963.

Adding to 2280064 its reverse (4600822), we get a palindrome (6880886).

The spelling of 2280064 in words is "two million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 379 752 758 1504 1516 3008 3032 6016 6064 12128 17813 24256 35626 48512 71252 142504 285008 570016 1140032 2280064