Base | Representation |
---|---|
bin | 110111001001… |
… | …101110010000 |
3 | 1000012112022000 |
4 | 313021232100 |
5 | 12200121434 |
6 | 1233514000 |
7 | 233613600 |
oct | 67115620 |
9 | 30175260 |
10 | 14457744 |
11 | 8185354 |
12 | 4a12900 |
13 | 2cc28a2 |
14 | 1cc4c00 |
15 | 1408b99 |
hex | dc9b90 |
14457744 has 120 divisors (see below), whose sum is σ = 48345120. Its totient is φ = 4124736.
The previous prime is 14457743. The next prime is 14457791. The reversal of 14457744 is 44775441.
It is a happy number.
14457744 is a `hidden beast` number, since 1 + 44 + 577 + 44 = 666.
14457744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 14457699 and 14457708.
It is not an unprimeable number, because it can be changed into a prime (14457743) 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, 20827 + ... + 21509.
It is an arithmetic number, because the mean of its divisors is an integer number (402876).
Almost surely, 214457744 is an apocalyptic number.
14457744 is a gapful number since it is divisible by the number (14) 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 14457744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24172560).
14457744 is an abundant number, since it is smaller than the sum of its proper divisors (33887376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14457744 is a wasteful number, since it uses less digits than its factorization.
14457744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 714 (or 695 counting only the distinct ones).
The product of its digits is 62720, while the sum is 36.
The square root of 14457744 is about 3802.3340200461. The cubic root of 14457744 is about 243.6128411780.
The spelling of 14457744 in words is "fourteen million, four hundred fifty-seven thousand, seven hundred forty-four".
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