Search a number
-
+
12626304 = 273131251
BaseRepresentation
bin110000001010…
…100110000000
3212202111000220
4300022212000
511213020204
61130343040
7212215245
oct60124600
925674026
1012626304
117144369
12428aa80
1328010b2
1419695cc
1511961d9
hexc0a980

12626304 has 64 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 4160000.

The previous prime is 12626303. The next prime is 12626309. The reversal of 12626304 is 40362621.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12626303) 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 7 ways as a sum of consecutive naturals, for example, 50179 + ... + 50429.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 212626304 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 12626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

12626304 is an abundant number, since it is smaller than the sum of its proper divisors (21302976).

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

12626304 is a wasteful number, since it uses less digits than its factorization.

12626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12626304 is about 3553.3510943896. The cubic root of 12626304 is about 232.8584919332.

Adding to 12626304 its reverse (40362621), we get a palindrome (52988925).

The spelling of 12626304 in words is "twelve million, six hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 251 262 384 393 502 524 753 786 1004 1048 1506 1572 2008 2096 3012 3144 4016 4192 6024 6288 8032 8384 12048 12576 16064 16768 24096 25152 32128 32881 48192 50304 65762 96384 98643 131524 197286 263048 394572 526096 789144 1052192 1578288 2104384 3156576 4208768 6313152 12626304