[go: up one dir, main page]

Search a number
-
+
12410144 = 252943311
BaseRepresentation
bin101111010101…
…110100100000
3212100111111222
4233111310200
511134111034
61121554212
7210325115
oct57256440
925314458
1012410144
117006a1a
1241a5968
1327568a6
14191090c
15115212e
hexbd5d20

12410144 has 48 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 5832960.

The previous prime is 12410143. The next prime is 12410149. The reversal of 12410144 is 44101421.

12410144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12410141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39749 + ... + 40059.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 212410144 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 12410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

12410144 is an abundant number, since it is smaller than the sum of its proper divisors (13535776).

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

12410144 is a wasteful number, since it uses less digits than its factorization.

12410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12410144 is about 3522.8034290888. The cubic root of 12410144 is about 231.5220043552.

Adding to 12410144 its reverse (44101421), we get a palindrome (56511565).

The spelling of 12410144 in words is "twelve million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 311 344 464 622 688 928 1244 1247 1376 2488 2494 4976 4988 9019 9952 9976 13373 18038 19952 26746 36076 39904 53492 72152 106984 144304 213968 288608 387817 427936 775634 1551268 3102536 6205072 12410144