Search a number
-
+
12608024 = 231113103107
BaseRepresentation
bin110000000110…
…001000011000
3212201112221212
4300012020120
511211424044
61130122252
7212111042
oct60061030
925645855
1012608024
117131660
124280388
1327c5990
141962a92
151190a9e
hexc06218

12608024 has 64 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 5189760.

The previous prime is 12608023. The next prime is 12608051. The reversal of 12608024 is 42080621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12608021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117779 + ... + 117885.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 212608024 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 12608024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

12608024 is an abundant number, since it is smaller than the sum of its proper divisors (15696616).

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

12608024 is a wasteful number, since it uses less digits than its factorization.

12608024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12608024 is about 3550.7779429303. Note that the first 3 decimals coincide. The cubic root of 12608024 is about 232.7460623812.

Adding to 12608024 its reverse (42080621), we get a palindrome (54688645).

The spelling of 12608024 in words is "twelve million, six hundred eight thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 107 143 206 214 286 412 428 572 824 856 1133 1144 1177 1339 1391 2266 2354 2678 2782 4532 4708 5356 5564 9064 9416 10712 11021 11128 14729 15301 22042 29458 30602 44084 58916 61204 88168 117832 121231 122408 143273 242462 286546 484924 573092 969848 1146184 1576003 3152006 6304012 12608024