Base | Representation |
---|---|
bin | 100100111000… |
… | …1011010100000 |
3 | 1100101112000000 |
4 | 1021301122200 |
5 | 14422321122 |
6 | 1530300000 |
7 | 323243445 |
oct | 111613240 |
9 | 40345000 |
10 | 19338912 |
11 | aa0967a |
12 | 6587600 |
13 | 4011558 |
14 | 27d59cc |
15 | 1a700ac |
hex | 12716a0 |
19338912 has 84 divisors (see below), whose sum is σ = 57152970. Its totient is φ = 6438528.
The previous prime is 19338881. The next prime is 19338919. The reversal of 19338912 is 21983391.
It can be written as a sum of positive squares in only one way, i.e., 15968016 + 3370896 = 3996^2 + 1836^2 .
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.
It is not an unprimeable number, because it can be changed into a prime (19338919) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22914 + ... + 23742.
Almost surely, 219338912 is an apocalyptic number.
19338912 is a gapful number since it is divisible by the number (12) 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 19338912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576485).
19338912 is an abundant number, since it is smaller than the sum of its proper divisors (37814058).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19338912 is an frugal number, since it uses more digits than its factorization.
19338912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 857 (or 834 counting only the distinct ones).
The product of its digits is 11664, while the sum is 36.
The square root of 19338912 is about 4397.6029834445. The cubic root of 19338912 is about 268.4174085100.
The spelling of 19338912 in words is "nineteen million, three hundred thirty-eight thousand, nine hundred twelve".
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