Search a number
-
+
12580288 = 26728081
BaseRepresentation
bin101111111111…
…010111000000
3212200010220121
4233333113000
511210032123
61125350024
7211634140
oct57772700
925603817
1012580288
117112836
124268314
1327b6176
141956920
15118775d
hexbff5c0

12580288 has 28 divisors (see below), whose sum is σ = 28531312. Its totient is φ = 5391360.

The previous prime is 12580283. The next prime is 12580297. The reversal of 12580288 is 88208521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13593 + ... + 14488.

Almost surely, 212580288 is an apocalyptic number.

It is an amenable number.

12580288 is an abundant number, since it is smaller than the sum of its proper divisors (15951024).

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

12580288 is an equidigital number, since it uses as much as digits as its factorization.

12580288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28100 (or 28090 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 12580288 is about 3546.8701696002. The cubic root of 12580288 is about 232.5752668018.

The spelling of 12580288 in words is "twelve million, five hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 28081 56162 112324 196567 224648 393134 449296 786268 898592 1572536 1797184 3145072 6290144 12580288