Search a number
-
+
12205104 = 243892857
BaseRepresentation
bin101110100011…
…110000110000
3211222002020220
4232203300300
511111030404
61113333040
7205512252
oct56436060
924862226
1012205104
11698696a
124107180
1326b4472
141899cd2
1511114d9
hexba3c30

12205104 has 40 divisors (see below), whose sum is σ = 31895280. Its totient is φ = 4021248.

The previous prime is 12205097. The next prime is 12205117. The reversal of 12205104 is 40150221.

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, 2844 + ... + 5700.

It is an arithmetic number, because the mean of its divisors is an integer number (797382).

Almost surely, 212205104 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 12205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947640).

12205104 is an abundant number, since it is smaller than the sum of its proper divisors (19690176).

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

12205104 is a wasteful number, since it uses less digits than its factorization.

12205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12205104 is about 3493.5803983879. The cubic root of 12205104 is about 230.2398506091.

Adding to 12205104 its reverse (40150221), we get a palindrome (52355325).

The spelling of 12205104 in words is "twelve million, two hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 2857 4272 5714 8571 11428 17142 22856 34284 45712 68568 137136 254273 508546 762819 1017092 1525638 2034184 3051276 4068368 6102552 12205104