Base | Representation |
---|---|
bin | 1101100101111… |
… | …01101110100000 |
3 | 21221112222121020 |
4 | 12302331232200 |
5 | 213142221303 |
6 | 15151525440 |
7 | 2553116346 |
oct | 662755640 |
9 | 257488536 |
10 | 114023328 |
11 | 593aa461 |
12 | 32229880 |
13 | 1a813733 |
14 | 11201996 |
15 | a024a53 |
hex | 6cbdba0 |
114023328 has 96 divisors (see below), whose sum is σ = 315778176. Its totient is φ = 35954688.
The previous prime is 114023321. The next prime is 114023333. The reversal of 114023328 is 823320411.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 114023298 and 114023307.
It is not an unprimeable number, because it can be changed into a prime (114023321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249276 + ... + 249732.
It is an arithmetic number, because the mean of its divisors is an integer number (3289356).
Almost surely, 2114023328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 114023328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157889088).
114023328 is an abundant number, since it is smaller than the sum of its proper divisors (201754848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114023328 is a wasteful number, since it uses less digits than its factorization.
114023328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 606 (or 598 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 114023328 is about 10678.1706298410. The cubic root of 114023328 is about 484.9138303000.
Adding to 114023328 its reverse (823320411), we get a palindrome (937343739).
The spelling of 114023328 in words is "one hundred fourteen million, twenty-three thousand, three hundred twenty-eight".
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