Base | Representation |
---|---|
bin | 100101110010… |
… | …1011111101110 |
3 | 1101021200020000 |
4 | 1023211133232 |
5 | 20033030012 |
6 | 1544405130 |
7 | 330263610 |
oct | 113453756 |
9 | 41250200 |
10 | 19814382 |
11 | 10203925 |
12 | 67767a6 |
13 | 4149ab3 |
14 | 28badb0 |
15 | 1b15ddc |
hex | 12e57ee |
19814382 has 80 divisors (see below), whose sum is σ = 51540192. Its totient is φ = 5572800.
The previous prime is 19814381. The next prime is 19814387. The reversal of 19814382 is 28341891.
It is a super-3 number, since 3×198143823 (a number of 23 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19814381) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114448 + ... + 114620.
Almost surely, 219814382 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 19814382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770096).
19814382 is an abundant number, since it is smaller than the sum of its proper divisors (31725810).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19814382 is a wasteful number, since it uses less digits than its factorization.
19814382 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 295 (or 286 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 19814382 is about 4451.3348559730. The cubic root of 19814382 is about 270.5994090478.
The spelling of 19814382 in words is "nineteen million, eight hundred fourteen thousand, three hundred eighty-two".
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