Base | Representation |
---|---|
bin | 1101101100001… |
… | …01111101000000 |
3 | 22000002122121100 |
4 | 12312011331000 |
5 | 213344442311 |
6 | 15221254400 |
7 | 2563103400 |
oct | 666057500 |
9 | 260078540 |
10 | 114843456 |
11 | 5990a652 |
12 | 32564400 |
13 | 1aa3cb10 |
14 | 11376800 |
15 | a137a56 |
hex | 6d85f40 |
114843456 has 252 divisors, whose sum is σ = 413694372. Its totient is φ = 30191616.
The previous prime is 114843431. The next prime is 114843457. The reversal of 114843456 is 654348411.
It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 108493056 = 2520^2 + 10416^2 .
It is a tau number, because it is divible by the number of its divisors (252).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 114843456.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114843457) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 366756 + ... + 367068.
Almost surely, 2114843456 is an apocalyptic number.
114843456 is a gapful number since it is divisible by the number (16) 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 114843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206847186).
114843456 is an abundant number, since it is smaller than the sum of its proper divisors (298850916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114843456 is a wasteful number, since it uses less digits than its factorization.
114843456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 358 (or 338 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 114843456 is about 10716.5039075251. The cubic root of 114843456 is about 486.0736564683.
The spelling of 114843456 in words is "one hundred fourteen million, eight hundred forty-three thousand, four hundred fifty-six".
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