Base | Representation |
---|---|
bin | 100110000011… |
… | …0011110000000 |
3 | 1101112112111011 |
4 | 1030012132000 |
5 | 20101340230 |
6 | 1551330304 |
7 | 331365430 |
oct | 114063600 |
9 | 41475434 |
10 | 19949440 |
11 | 10296345 |
12 | 6820994 |
13 | 4196404 |
14 | 29142c0 |
15 | 1b40e2a |
hex | 1306780 |
19949440 has 128 divisors (see below), whose sum is σ = 56157120. Its totient is φ = 6635520.
The previous prime is 19949431. The next prime is 19949453. The reversal of 19949440 is 4494991.
19949440 is nontrivially palindromic in base 3.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 19949393 and 19949402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273244 + ... + 273316.
Almost surely, 219949440 is an apocalyptic number.
19949440 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 19949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28078560).
19949440 is an abundant number, since it is smaller than the sum of its proper divisors (36207680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19949440 is an equidigital number, since it uses as much as digits as its factorization.
19949440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 40.
The square root of 19949440 is about 4466.4795980727. The cubic root of 19949440 is about 271.2128337165.
The spelling of 19949440 in words is "nineteen million, nine hundred forty-nine thousand, four hundred forty".
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