| Base | Representation |
|---|---|
| bin | 110101011010… |
| … | …000100010000 |
| 3 | 222100021221100 |
| 4 | 311122010100 |
| 5 | 12041003100 |
| 6 | 1220024400 |
| 7 | 230000331 |
| oct | 65320420 |
| 9 | 28307840 |
| 10 | 14000400 |
| 11 | 79a2787 |
| 12 | 4832100 |
| 13 | 2b9267b |
| 14 | 1c06288 |
| 15 | 1368400 |
| hex | d5a110 |
14000400 has 90 divisors (see below), whose sum is σ = 48597770. Its totient is φ = 3732480.
The previous prime is 14000383. The next prime is 14000423. The reversal of 14000400 is 400041.
It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 12194064 = 1344^2 + 3492^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a super-2 number, since 2×140004002 = 392022400320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1656 + ... + 5544.
Almost surely, 214000400 is an apocalyptic number.
14000400 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 14000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298885).
14000400 is an abundant number, since it is smaller than the sum of its proper divisors (34597370).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14000400 is a wasteful number, since it uses less digits than its factorization.
14000400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3913 (or 3899 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 14000400 is about 3741.7108386405. The cubic root of 14000400 is about 241.0165217692.
Adding to 14000400 its reverse (400041), we get a palindrome (14400441).
It can be divided in two parts, 14000 and 400, that added together give a square (14400 = 1202).
The spelling of 14000400 in words is "fourteen million, four hundred", and thus it is an aban number.
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