Base | Representation |
---|---|
bin | 1101100110100… |
… | …10111000110000 |
3 | 21221201101111022 |
4 | 12303102320300 |
5 | 213203010000 |
6 | 15153435012 |
7 | 2553630134 |
oct | 663227060 |
9 | 257641438 |
10 | 114110000 |
11 | 59459594 |
12 | 3226ba68 |
13 | 1a844014 |
14 | 112253c4 |
15 | a040585 |
hex | 6cd2e30 |
114110000 has 50 divisors (see below), whose sum is σ = 276295932. Its totient is φ = 45640000.
The previous prime is 114109997. The next prime is 114110021. The reversal of 114110000 is 11411.
It is a tau number, because it is divible by the number of its divisors (50).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 114110000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4295 + ... + 15705.
Almost surely, 2114110000 is an apocalyptic number.
114110000 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 114110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138147966).
114110000 is an abundant number, since it is smaller than the sum of its proper divisors (162185932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114110000 is an equidigital number, since it uses as much as digits as its factorization.
114110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11439 (or 11418 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
The square root of 114110000 is about 10682.2282319748. The cubic root of 114110000 is about 485.0366642492.
Adding to 114110000 its reverse (11411), we get a palindrome (114121411).
Multiplying 114110000 by its reverse (11411), we get a square (1302109210000 = 11411002).
114110000 divided by its reverse (11411) gives a 4-th power (10000 = 104).
The spelling of 114110000 in words is "one hundred fourteen million, one hundred ten thousand".
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