Base | Representation |
---|---|
bin | 11011000010000… |
… | …010101010000000 |
3 | 1011121101012111001 |
4 | 123002002222000 |
5 | 1412100120000 |
6 | 113000301344 |
7 | 14144566513 |
oct | 3302025200 |
9 | 1147335431 |
10 | 453520000 |
11 | 21300031a |
12 | 107a71854 |
13 | 72c5cc3b |
14 | 44336d7a |
15 | 29c3646a |
hex | 1b082a80 |
453520000 has 80 divisors (see below), whose sum is σ = 1129208850. Its totient is φ = 181376000.
The previous prime is 453519977. The next prime is 453520007. The reversal of 453520000 is 25354.
It is a happy number.
It can be written as a sum of positive squares in 5 ways, for example, as 341056 + 453178944 = 584^2 + 21288^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a self number, because there is not a number n which added to its sum of digits gives 453520000.
It is not an unprimeable number, because it can be changed into a prime (453520007) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77166 + ... + 82834.
Almost surely, 2453520000 is an apocalyptic number.
453520000 is a gapful number since it is divisible by the number (40) 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 453520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564604425).
453520000 is an abundant number, since it is smaller than the sum of its proper divisors (675688850).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
453520000 is an frugal number, since it uses more digits than its factorization.
453520000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5703 (or 5676 counting only the distinct ones).
The product of its (nonzero) digits is 600, while the sum is 19.
The square root of 453520000 is about 21296.0090157757. The cubic root of 453520000 is about 768.3023259958.
Adding to 453520000 its reverse (25354), we get a palindrome (453545354).
The spelling of 453520000 in words is "four hundred fifty-three million, five hundred twenty thousand".
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