Search a number
-
+
12860064 = 253276379
BaseRepresentation
bin110001000011…
…101010100000
3220012100200200
4301003222200
511243010224
61135345200
7214210620
oct61035240
926170620
1012860064
117293a58
124382200
132883609
1419ca880
1511e05c9
hexc43aa0

12860064 has 72 divisors (see below), whose sum is σ = 41801760. Its totient is φ = 3673728.

The previous prime is 12860051. The next prime is 12860069. The reversal of 12860064 is 46006821.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12860069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174 + ... + 5205.

It is an arithmetic number, because the mean of its divisors is an integer number (580580).

Almost surely, 212860064 is an apocalyptic number.

12860064 is a gapful number since it is divisible by the number (14) 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 12860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900880).

12860064 is an abundant number, since it is smaller than the sum of its proper divisors (28941696).

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

12860064 is a wasteful number, since it uses less digits than its factorization.

12860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12860064 is about 3586.0931387793. The cubic root of 12860064 is about 234.2867403145.

Adding to 12860064 its reverse (46006821), we get a palindrome (58866885).

The spelling of 12860064 in words is "twelve million, eight hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6379 12758 19137 25516 38274 44653 51032 57411 76548 89306 102064 114822 133959 153096 178612 204128 229644 267918 306192 357224 401877 459288 535836 612384 714448 803754 918576 1071672 1428896 1607508 1837152 2143344 3215016 4286688 6430032 12860064