Base | Representation |
---|---|
bin | 1101101000011… |
… | …10101010001100 |
3 | 21222011211100000 |
4 | 12310032222030 |
5 | 213233323303 |
6 | 15203004300 |
7 | 2556000000 |
oct | 664165214 |
9 | 258154300 |
10 | 114354828 |
11 | 59606525 |
12 | 32369690 |
13 | 1a8cb5a3 |
14 | 1128a700 |
15 | a08cda3 |
hex | 6d0ea8c |
114354828 has 126 divisors (see below), whose sum is σ = 349730836. Its totient is φ = 32672808.
The previous prime is 114354797. The next prime is 114354829. The reversal of 114354828 is 828453411.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (126).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (30720) is a multiple of the sum of its prime divisors (12).
It is a junction number, because it is equal to n+sod(n) for n = 114354792 and 114354801.
It is not an unprimeable number, because it can be changed into a prime (114354829) 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 41 ways as a sum of consecutive naturals, for example, 16336401 + ... + 16336407.
Almost surely, 2114354828 is an apocalyptic number.
114354828 is a gapful number since it is divisible by the number (18) 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 114354828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174865418).
114354828 is an abundant number, since it is smaller than the sum of its proper divisors (235376008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114354828 is an frugal number, since it uses more digits than its factorization.
114354828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 12 counting only the distinct ones).
The product of its digits is 30720, while the sum is 36.
The square root of 114354828 is about 10693.6816859302. The cubic root of 114354828 is about 485.3833055875.
114354828 divided by its sum of digits (36) gives a cube (3176523 = 1473).
The spelling of 114354828 in words is "one hundred fourteen million, three hundred fifty-four thousand, eight hundred twenty-eight".
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