| Base | Representation |
|---|---|
| bin | 1101101000011… |
| … | …10010110100000 |
| 3 | 21222011202121100 |
| 4 | 12310032112200 |
| 5 | 213233303233 |
| 6 | 15202554400 |
| 7 | 2555663220 |
| oct | 664162640 |
| 9 | 258152540 |
| 10 | 114353568 |
| 11 | 5960558a |
| 12 | 32368a00 |
| 13 | 1a8cab44 |
| 14 | 1128a080 |
| 15 | a08c813 |
| hex | 6d0e5a0 |
114353568 has 144 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 32348160.
The previous prime is 114353567. The next prime is 114353573. The reversal of 114353568 is 865353411.
114353568 is a `hidden beast` number, since 1 + 1 + 43 + 53 + 568 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (43200) is a multiple of the sum of its prime divisors (576).
It is not an unprimeable number, because it can be changed into a prime (114353563) 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, 263880 + ... + 264312.
It is an arithmetic number, because the mean of its divisors is an integer number (2606604).
Almost surely, 2114353568 is an apocalyptic number.
114353568 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 114353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).
114353568 is an abundant number, since it is smaller than the sum of its proper divisors (260997408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114353568 is a wasteful number, since it uses less digits than its factorization.
114353568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 587 (or 576 counting only the distinct ones).
The product of its digits is 43200, while the sum is 36.
The square root of 114353568 is about 10693.6227724752. The cubic root of 114353568 is about 485.3815228754.
It can be divided in two parts, 114353 and 568, that added together give a square (114921 = 3392).
The spelling of 114353568 in words is "one hundred fourteen million, three hundred fifty-three thousand, five hundred sixty-eight".
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