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453520000 = 27545669
BaseRepresentation
bin11011000010000…
…010101010000000
31011121101012111001
4123002002222000
51412100120000
6113000301344
714144566513
oct3302025200
91147335431
10453520000
1121300031a
12107a71854
1372c5cc3b
1444336d7a
1529c3646a
hex1b082a80

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".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 5669 8000 10000 11338 16000 20000 22676 28345 40000 45352 56690 80000 90704 113380 141725 181408 226760 283450 362816 453520 566900 708625 725632 907040 1133800 1417250 1814080 2267600 2834500 3543125 3628160 4535200 5669000 7086250 9070400 11338000 14172500 18140800 22676000 28345000 45352000 56690000 90704000 113380000 226760000 453520000