Base | Representation |
---|---|
bin | 110101011010… |
… | …011100010000 |
3 | 222100101001020 |
4 | 311122130100 |
5 | 12041030221 |
6 | 1220035440 |
7 | 230004654 |
oct | 65323420 |
9 | 28311036 |
10 | 14001936 |
11 | 79a3953 |
12 | 4832b80 |
13 | 2b93290 |
14 | 1c06a64 |
15 | 1368ac6 |
hex | d5a710 |
14001936 has 80 divisors (see below), whose sum is σ = 41039040. Its totient is φ = 4078080.
The previous prime is 14001919. The next prime is 14001941. The reversal of 14001936 is 63910041.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11266 + ... + 12446.
It is an arithmetic number, because the mean of its divisors is an integer number (512988).
Almost surely, 214001936 is an apocalyptic number.
14001936 is a gapful number since it is divisible by the number (16) 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 14001936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519520).
14001936 is an abundant number, since it is smaller than the sum of its proper divisors (27037104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14001936 is a wasteful number, since it uses less digits than its factorization.
14001936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 24.
The square root of 14001936 is about 3741.9160867128. The cubic root of 14001936 is about 241.0253355136.
Adding to 14001936 its reverse (63910041), we get a palindrome (77911977).
The spelling of 14001936 in words is "fourteen million, one thousand, nine hundred thirty-six".
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