| Base | Representation |
|---|---|
| bin | 110101011010… |
| … | …001101101000 |
| 3 | 222100022202120 |
| 4 | 311122031220 |
| 5 | 12041013000 |
| 6 | 1220031240 |
| 7 | 230002146 |
| oct | 65321550 |
| 9 | 28308676 |
| 10 | 14001000 |
| 11 | 79a3182 |
| 12 | 4832520 |
| 13 | 2b92a20 |
| 14 | 1c06596 |
| 15 | 13686a0 |
| hex | d5a368 |
14001000 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3436800.
The previous prime is 14000977. The next prime is 14001007. The reversal of 14001000 is 10041.
14001000 is digitally balanced in base 2, because in such base 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 (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 14001000.
It is not an unprimeable number, because it can be changed into a prime (14001007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38821 + ... + 39179.
It is an arithmetic number, because the mean of its divisors is an integer number (368550).
Almost surely, 214001000 is an apocalyptic number.
14001000 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 14001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).
14001000 is an abundant number, since it is smaller than the sum of its proper divisors (33173400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14001000 is a wasteful number, since it uses less digits than its factorization.
14001000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 396 (or 382 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 14001000 is about 3741.7910150087. The cubic root of 14001000 is about 241.0199647149.
Adding to 14001000 its reverse (10041), we get a palindrome (14011041).
The spelling of 14001000 in words is "fourteen million, one thousand".
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