| Base | Representation |
|---|---|
| bin | 1101101100101… |
| … | …10111000100000 |
| 3 | 22000020011201122 |
| 4 | 12312112320200 |
| 5 | 213404202200 |
| 6 | 15222551412 |
| 7 | 2563512512 |
| oct | 666267040 |
| 9 | 260204648 |
| 10 | 114912800 |
| 11 | 59957762 |
| 12 | 32598568 |
| 13 | 1aa65552 |
| 14 | 11393bb2 |
| 15 | a14d385 |
| hex | 6d96e20 |
114912800 has 54 divisors (see below), whose sum is σ = 281273013. Its totient is φ = 45843840.
The previous prime is 114912799. The next prime is 114912803. The reversal of 114912800 is 8219411.
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 can be written as a sum of positive squares in 2 ways, for example, as 112614544 + 2298256 = 10612^2 + 1516^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=7580.
It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 114912800.
It is not an unprimeable number, because it can be changed into a prime (114912803) 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 8 ways as a sum of consecutive naturals, for example, 303011 + ... + 303389.
Almost surely, 2114912800 is an apocalyptic number.
114912800 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 114912800
114912800 is an abundant number, since it is smaller than the sum of its proper divisors (166360213).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114912800 is an frugal number, since it uses more digits than its factorization.
114912800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 778 (or 386 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 26.
The square root of 114912800 is about 10719.7388027881. The cubic root of 114912800 is about 486.1714693549.
The spelling of 114912800 in words is "one hundred fourteen million, nine hundred twelve thousand, eight hundred".
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