Search a number
-
+
106431328 = 257942101
BaseRepresentation
bin1100101100000…
…00001101100000
321102021021100001
412112000031200
5204221300303
614321105344
72431436263
oct626001540
9242237301
10106431328
1155094483
122b788254
1319085c23
14101c6cda
15952531d
hex6580360

106431328 has 24 divisors (see below), whose sum is σ = 212194080. Its totient is φ = 52540800.

The previous prime is 106431323. The next prime is 106431329. The reversal of 106431328 is 823134601.

It is a super-3 number, since 3×1064313283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106431296 and 106431305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18523 + ... + 23578.

It is an arithmetic number, because the mean of its divisors is an integer number (8841420).

Almost surely, 2106431328 is an apocalyptic number.

It is an amenable number.

106431328 is a deficient number, since it is larger than the sum of its proper divisors (105762752).

106431328 is an equidigital number, since it uses as much as digits as its factorization.

106431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42190 (or 42182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 106431328 is about 10316.5560144847. The cubic root of 106431328 is about 473.9034027254.

Adding to 106431328 its reverse (823134601), we get a palindrome (929565929).

The spelling of 106431328 in words is "one hundred six million, four hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 79 158 316 632 1264 2528 42101 84202 168404 336808 673616 1347232 3325979 6651958 13303916 26607832 53215664 106431328