Base | Representation |
---|---|
bin | 1100101001110… |
… | …01111010000000 |
3 | 21101201122022120 |
4 | 12110321322000 |
5 | 204133041420 |
6 | 14311004240 |
7 | 2426126601 |
oct | 624717200 |
9 | 241648276 |
10 | 106143360 |
11 | 54a08094 |
12 | 2b669680 |
13 | 18cb4b2b |
14 | 1014dda8 |
15 | 94b9d40 |
hex | 6539e80 |
106143360 has 128 divisors (see below), whose sum is σ = 344433600. Its totient is φ = 27795456.
The previous prime is 106143347. The next prime is 106143377. The reversal of 106143360 is 63341601.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1061433602 = 22532825744179200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 106143360.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112812 + ... + 113748.
Almost surely, 2106143360 is an apocalyptic number.
106143360 is a gapful number since it is divisible by the number (10) 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 106143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216800).
106143360 is an abundant number, since it is smaller than the sum of its proper divisors (238290240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106143360 is an equidigital number, since it uses as much as digits as its factorization.
106143360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The square root of 106143360 is about 10302.5899656349. The cubic root of 106143360 is about 473.4756080055.
Adding to 106143360 its reverse (63341601), we get a palindrome (169484961).
The spelling of 106143360 in words is "one hundred six million, one hundred forty-three thousand, three hundred sixty".
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