Base | Representation |
---|---|
bin | 100100110100… |
… | …0001100000000 |
3 | 1100022121011022 |
4 | 1021220030000 |
5 | 14420113440 |
6 | 1525405012 |
7 | 323025326 |
oct | 111501400 |
9 | 40277138 |
10 | 19301120 |
11 | a993243 |
12 | 6569768 |
13 | 3cca2a7 |
14 | 27c5d16 |
15 | 1a63cb5 |
hex | 1268300 |
19301120 has 72 divisors (see below), whose sum is σ = 49006944. Its totient is φ = 7258112.
The previous prime is 19301099. The next prime is 19301143. The reversal of 19301120 is 2110391.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21317 + ... + 22203.
It is an arithmetic number, because the mean of its divisors is an integer number (680652).
Almost surely, 219301120 is an apocalyptic number.
19301120 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 19301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503472).
19301120 is an abundant number, since it is smaller than the sum of its proper divisors (29705824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19301120 is an equidigital number, since it uses as much as digits as its factorization.
19301120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 925 (or 911 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 17.
The square root of 19301120 is about 4393.3039958555. The cubic root of 19301120 is about 268.2424478626.
The spelling of 19301120 in words is "nineteen million, three hundred one thousand, one hundred twenty".
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