Base | Representation |
---|---|
bin | 100100100101… |
… | …1100110101000 |
3 | 1100002122120000 |
4 | 1021023212220 |
5 | 14402342130 |
6 | 1523103000 |
7 | 322030101 |
oct | 111134650 |
9 | 40078500 |
10 | 19184040 |
11 | a913287 |
12 | 6511a60 |
13 | 3c88c05 |
14 | 27953a8 |
15 | 1a3e260 |
hex | 124b9a8 |
19184040 has 160 divisors (see below), whose sum is σ = 66908160. Its totient is φ = 4924800.
The previous prime is 19184029. The next prime is 19184089. The reversal of 19184040 is 4048191.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 19183995 and 19184013.
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 39 ways as a sum of consecutive naturals, for example, 100345 + ... + 100535.
It is an arithmetic number, because the mean of its divisors is an integer number (418176).
Almost surely, 219184040 is an apocalyptic number.
19184040 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 19184040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454080).
19184040 is an abundant number, since it is smaller than the sum of its proper divisors (47724120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19184040 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (19184039) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (232).
19184040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 245 (or 232 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 19184040 is about 4379.9589039168. The cubic root of 19184040 is about 267.6989639797.
The spelling of 19184040 in words is "nineteen million, one hundred eighty-four thousand, forty".
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