Search a number
-
+
12488064 = 273171913
BaseRepresentation
bin101111101000…
…110110000000
3212111110101220
4233220312000
511144104224
61123355040
7211101231
oct57506600
925443356
1012488064
11705a516
124222a80
1327831b4
141931088
15116a279
hexbe8d80

12488064 has 64 divisors (see below), whose sum is σ = 35141040. Its totient is φ = 3915776.

The previous prime is 12488059. The next prime is 12488087. The reversal of 12488064 is 46088421.

It is a tau number, because it is divible by the number of its divisors (64).

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, 5572 + ... + 7484.

Almost surely, 212488064 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 12488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570520).

12488064 is an abundant number, since it is smaller than the sum of its proper divisors (22652976).

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

12488064 is a wasteful number, since it uses less digits than its factorization.

12488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12488064 is about 3533.8454974716. The cubic root of 12488064 is about 232.0055488169.

It can be divided in two parts, 124 and 88064, that added together give a palindrome (88188).

The spelling of 12488064 in words is "twelve million, four hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 1913 2176 3264 3826 5739 6528 7652 11478 15304 22956 30608 32521 45912 61216 65042 91824 97563 122432 130084 183648 195126 244864 260168 367296 390252 520336 734592 780504 1040672 1561008 2081344 3122016 4162688 6244032 12488064