Search a number
-
+
12410442 = 23311171229
BaseRepresentation
bin101111010101…
…111001001010
3212100111221000
4233111321022
511134113232
61121555430
7210326022
oct57257112
925314830
1012410442
117007170
1241a5b76
132756a75
141910a82
15115227c
hexbd5e4a

12410442 has 64 divisors (see below), whose sum is σ = 31881600. Its totient is φ = 3536640.

The previous prime is 12410441. The next prime is 12410443. The reversal of 12410442 is 24401421.

It is an interprime number because it is at equal distance from previous prime (12410441) and next prime (12410443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12410441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9484 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (498150).

Almost surely, 212410442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12410442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940800).

12410442 is an abundant number, since it is smaller than the sum of its proper divisors (19471158).

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

12410442 is a wasteful number, since it uses less digits than its factorization.

12410442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12410442 is about 3522.8457246947. The cubic root of 12410442 is about 231.5238574899.

Adding to 12410442 its reverse (24401421), we get a palindrome (36811863).

The spelling of 12410442 in words is "twelve million, four hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1229 1683 2458 3366 3687 5049 7374 10098 11061 13519 20893 22122 27038 33183 40557 41786 62679 66366 81114 121671 125358 188037 229823 243342 365013 376074 459646 564111 689469 730026 1128222 1378938 2068407 4136814 6205221 12410442