Base | Representation |
---|---|
bin | 111000100010… |
… | …000000000000 |
3 | 1000212220022000 |
4 | 320202000000 |
5 | 12243204303 |
6 | 1245344000 |
7 | 236651016 |
oct | 70420000 |
9 | 30786260 |
10 | 14819328 |
11 | 8401a87 |
12 | 4b68000 |
13 | 30bb344 |
14 | 1d7a8b6 |
15 | 147ada3 |
hex | e22000 |
14819328 has 112 divisors (see below), whose sum is σ = 44561760. Its totient is φ = 4866048.
The previous prime is 14819303. The next prime is 14819339. The reversal of 14819328 is 82391841.
It is a super-2 number, since 2×148193282 = 439224964743168, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (13824) is a multiple of the sum of its prime divisors (72).
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 14819292 and 14819301.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221151 + ... + 221217.
Almost surely, 214819328 is an apocalyptic number.
14819328 is a gapful number since it is divisible by the number (18) 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 14819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280880).
14819328 is an abundant number, since it is smaller than the sum of its proper divisors (29742432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14819328 is an frugal number, since it uses more digits than its factorization.
14819328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102 (or 72 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 14819328 is about 3849.5880299066. The cubic root of 14819328 is about 245.6270374518.
The spelling of 14819328 in words is "fourteen million, eight hundred nineteen thousand, three hundred twenty-eight".
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