Base | Representation |
---|---|
bin | 110101110110… |
… | …100010110000 |
3 | 222120012221100 |
4 | 311312202300 |
5 | 12103221130 |
6 | 1222324400 |
7 | 230664360 |
oct | 65664260 |
9 | 28505840 |
10 | 14117040 |
11 | 7a72383 |
12 | 4889700 |
13 | 2c037a2 |
14 | 1c369a0 |
15 | 138cc60 |
hex | d768b0 |
14117040 has 120 divisors (see below), whose sum is σ = 54201888. Its totient is φ = 3225600.
The previous prime is 14117039. The next prime is 14117053. The reversal of 14117040 is 4071141.
14117040 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 tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×141170403 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640 + ... + 6440.
Almost surely, 214117040 is an apocalyptic number.
14117040 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 14117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100944).
14117040 is an abundant number, since it is smaller than the sum of its proper divisors (40084848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14117040 is a wasteful number, since it uses less digits than its factorization.
14117040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2827 (or 2818 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 18.
The square root of 14117040 is about 3757.2649627089. The cubic root of 14117040 is about 241.6839897742.
Adding to 14117040 its reverse (4071141), we get a palindrome (18188181).
The spelling of 14117040 in words is "fourteen million, one hundred seventeen thousand, forty".
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