Search a number
-
+
12405104 = 241759773
BaseRepresentation
bin101111010100…
…100101110000
3212100020121022
4233110211300
511133430404
61121515012
7210304325
oct57244560
925306538
1012405104
117003158
1241a2a68
1327544ca
14190cb4c
1511508be
hexbd4970

12405104 has 40 divisors (see below), whose sum is σ = 25913520. Its totient is φ = 5731328.

The previous prime is 12405091. The next prime is 12405137. The reversal of 12405104 is 40150421.

12405104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15662 + ... + 16434.

It is an arithmetic number, because the mean of its divisors is an integer number (647838).

Almost surely, 212405104 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 12405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956760).

12405104 is an abundant number, since it is smaller than the sum of its proper divisors (13508416).

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

12405104 is a wasteful number, since it uses less digits than its factorization.

12405104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 12405104 is about 3522.0880170717. The cubic root of 12405104 is about 231.4906582537.

Adding to 12405104 its reverse (40150421), we get a palindrome (52555525).

The spelling of 12405104 in words is "twelve million, four hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 773 944 1003 1546 2006 3092 4012 6184 8024 12368 13141 16048 26282 45607 52564 91214 105128 182428 210256 364856 729712 775319 1550638 3101276 6202552 12405104