Search a number
-
+
12431376 = 2432131659
BaseRepresentation
bin101111011011…
…000000010000
3212101120122100
4233123000100
511140301001
61122240400
7210444036
oct57330020
925346570
1012431376
117020971
1241b6100
132763459
141918556
151158586
hexbdb010

12431376 has 60 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 4105920.

The previous prime is 12431357. The next prime is 12431387. The reversal of 12431376 is 67313421.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18535 + ... + 19193.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 212431376 is an apocalyptic number.

12431376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

12431376 is an abundant number, since it is smaller than the sum of its proper divisors (22677984).

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

12431376 is a wasteful number, since it uses less digits than its factorization.

12431376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 795 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 12431376 is about 3525.8156503141. The cubic root of 12431376 is about 231.6539629239.

Adding to 12431376 its reverse (67313421), we get a palindrome (79744797).

The spelling of 12431376 in words is "twelve million, four hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 659 786 1048 1179 1318 1572 1977 2096 2358 2636 3144 3954 4716 5272 5931 6288 7908 9432 10544 11862 15816 18864 23724 31632 47448 86329 94896 172658 258987 345316 517974 690632 776961 1035948 1381264 1553922 2071896 3107844 4143792 6215688 12431376