Base | Representation |
---|---|
bin | 110101111001… |
… | …000000010000 |
3 | 222120201202200 |
4 | 311321000100 |
5 | 12104031440 |
6 | 1222443200 |
7 | 231035640 |
oct | 65710020 |
9 | 28521680 |
10 | 14127120 |
11 | 7a79a07 |
12 | 4893500 |
13 | 2c08257 |
14 | 1c3a520 |
15 | 1390c30 |
hex | d79010 |
14127120 has 120 divisors (see below), whose sum is σ = 54240576. Its totient is φ = 3227904.
The previous prime is 14127101. The next prime is 14127121. The reversal of 14127120 is 2172141.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 14127093 and 14127102.
It is not an unprimeable number, because it can be changed into a prime (14127121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3639 + ... + 6441.
Almost surely, 214127120 is an apocalyptic number.
14127120 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 14127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27120288).
14127120 is an abundant number, since it is smaller than the sum of its proper divisors (40113456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14127120 is a wasteful number, since it uses less digits than its factorization.
14127120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2829 (or 2820 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 18.
The square root of 14127120 is about 3758.6061246159. The cubic root of 14127120 is about 241.7414993516.
Adding to 14127120 its reverse (2172141), we get a palindrome (16299261).
It can be divided in two parts, 141 and 27120, that added together give a triangular number (27261 = T233).
The spelling of 14127120 in words is "fourteen million, one hundred twenty-seven thousand, one hundred twenty".
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