Base | Representation |
---|---|
bin | 100100010000… |
… | …1000001000000 |
3 | 1022202210021021 |
4 | 1020201001000 |
5 | 14331301400 |
6 | 1515235224 |
7 | 320402401 |
oct | 110410100 |
9 | 38683237 |
10 | 19009600 |
11 | a804215 |
12 | 6448b14 |
13 | 3c276ac |
14 | 274b9a8 |
15 | 1a0771a |
hex | 1221040 |
19009600 has 63 divisors (see below), whose sum is σ = 47208567. Its totient is φ = 7534080.
The previous prime is 19009589. The next prime is 19009607. The reversal of 19009600 is 690091.
The square root of 19009600 is 4360.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 18939904 = 264^2 + 4352^2 .
It is a super-2 number, since 2×190096002 = 722729784320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (19009607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174346 + ... + 174454.
Almost surely, 219009600 is an apocalyptic number.
19009600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
19009600 is the 4360-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 19009600
19009600 is an abundant number, since it is smaller than the sum of its proper divisors (28198967).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19009600 is an equidigital number, since it uses as much as digits as its factorization.
19009600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 116 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 25.
The cubic root of 19009600 is about 266.8850988067.
Multiplying 19009600 by its sum of digits (25), we get a square (475240000 = 218002).
19009600 divided by its sum of digits (25) gives a square (760384 = 8722).
Adding to 19009600 its reverse (690091), we get a palindrome (19699691).
The spelling of 19009600 in words is "nineteen million, nine thousand, six hundred".
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