Base | Representation |
---|---|
bin | 100101110100… |
… | …1010010110000 |
3 | 1101022110120002 |
4 | 1023221102300 |
5 | 20034024221 |
6 | 1545005132 |
7 | 330360140 |
oct | 113512260 |
9 | 41273502 |
10 | 19829936 |
11 | 10214585 |
12 | 67837a8 |
13 | 4153bb9 |
14 | 28c2920 |
15 | 1b1a80b |
hex | 12e94b0 |
19829936 has 40 divisors (see below), whose sum is σ = 44369184. Its totient is φ = 8409600.
The previous prime is 19829921. The next prime is 19829981. The reversal of 19829936 is 63992891.
It is a super-3 number, since 3×198299363 (a number of 23 digits) contains 333 as substring.
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 7 ways as a sum of consecutive naturals, for example, 10436 + ... + 12188.
Almost surely, 219829936 is an apocalyptic number.
19829936 is a gapful number since it is divisible by the number (16) 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 19829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184592).
19829936 is an abundant number, since it is smaller than the sum of its proper divisors (24539248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19829936 is a wasteful number, since it uses less digits than its factorization.
19829936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).
The product of its digits is 209952, while the sum is 47.
The square root of 19829936 is about 4453.0816296134. The cubic root of 19829936 is about 270.6701960546.
The spelling of 19829936 in words is "nineteen million, eight hundred twenty-nine thousand, nine hundred thirty-six".
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