Base | Representation |
---|---|
bin | 100100110110… |
… | …1001001001000 |
3 | 1100100122000000 |
4 | 1021231021020 |
5 | 14421241131 |
6 | 1530043000 |
7 | 323141442 |
oct | 111551110 |
9 | 40318000 |
10 | 19321416 |
11 | a9a7514 |
12 | 6579460 |
13 | 40065ba |
14 | 27cd492 |
15 | 1a69ce6 |
hex | 126d248 |
19321416 has 56 divisors (see below), whose sum is σ = 54333030. Its totient is φ = 6438528.
The previous prime is 19321411. The next prime is 19321427. The reversal of 19321416 is 61412391.
It can be written as a sum of positive squares in only one way, i.e., 12320100 + 7001316 = 3510^2 + 2646^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 19321416.
It is not an unprimeable number, because it can be changed into a prime (19321411) 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, 4176 + ... + 7488.
Almost surely, 219321416 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 19321416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27166515).
19321416 is an abundant number, since it is smaller than the sum of its proper divisors (35011614).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19321416 is an equidigital number, since it uses as much as digits as its factorization.
19321416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3337 (or 3318 counting only the distinct ones).
The product of its digits is 1296, while the sum is 27.
The square root of 19321416 is about 4395.6132677932. The cubic root of 19321416 is about 268.3364379444.
It can be divided in two parts, 193 and 21416, that added together give a square (21609 = 1472).
The spelling of 19321416 in words is "nineteen million, three hundred twenty-one thousand, four hundred sixteen".
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