Base | Representation |
---|---|
bin | 1101101000111… |
… | …01000111000100 |
3 | 21222021211112022 |
4 | 12310131013010 |
5 | 213242222040 |
6 | 15204142312 |
7 | 2556334400 |
oct | 664350704 |
9 | 258254468 |
10 | 114414020 |
11 | 59646a46 |
12 | 32397998 |
13 | 1a91c506 |
14 | 112a4100 |
15 | a0a06b5 |
hex | 6d1d1c4 |
114414020 has 72 divisors (see below), whose sum is σ = 281141784. Its totient is φ = 38997504.
The previous prime is 114414011. The next prime is 114414023. The reversal of 114414020 is 20414411.
It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 114404416 = 98^2 + 10696^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 114414020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114414023) 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 23 ways as a sum of consecutive naturals, for example, 306554 + ... + 306926.
It is an arithmetic number, because the mean of its divisors is an integer number (3904747).
Almost surely, 2114414020 is an apocalyptic number.
114414020 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 114414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140570892).
114414020 is an abundant number, since it is smaller than the sum of its proper divisors (166727764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114414020 is a wasteful number, since it uses less digits than its factorization.
114414020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 709 (or 700 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
The square root of 114414020 is about 10696.4489434578. The cubic root of 114414020 is about 485.4670386879.
Adding to 114414020 its reverse (20414411), we get a palindrome (134828431).
The spelling of 114414020 in words is "one hundred fourteen million, four hundred fourteen thousand, twenty".
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