Base | Representation |
---|---|
bin | 1101101100000… |
… | …00111101100000 |
3 | 22000001121120000 |
4 | 12312000331200 |
5 | 213343314013 |
6 | 15221020000 |
7 | 2562656646 |
oct | 666007540 |
9 | 260047500 |
10 | 114823008 |
11 | 598a6253 |
12 | 32554600 |
13 | 1aa33711 |
14 | 1136d196 |
15 | a131973 |
hex | 6d80f60 |
114823008 has 120 divisors (see below), whose sum is σ = 348828480. Its totient is φ = 37013760.
The previous prime is 114823003. The next prime is 114823019. The reversal of 114823008 is 800328411.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114823003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79638 + ... + 81066.
It is an arithmetic number, because the mean of its divisors is an integer number (2906904).
Almost surely, 2114823008 is an apocalyptic number.
114823008 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 114823008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174414240).
114823008 is an abundant number, since it is smaller than the sum of its proper divisors (234005472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114823008 is a wasteful number, since it uses less digits than its factorization.
114823008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 114823008 is about 10715.5498225709. The cubic root of 114823008 is about 486.0448061114.
The spelling of 114823008 in words is "one hundred fourteen million, eight hundred twenty-three thousand, eight".
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