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453130000 = 2454113401
BaseRepresentation
bin11011000000100…
…011011100010000
31011120122101111121
4123000203130100
51412000130000
6112544052024
714141353501
oct3300433420
91146571447
10453130000
11212864304
12107904014
1372b5457b
1444274ba8
1529baab1a
hex1b023710

453130000 has 100 divisors (see below), whose sum is σ = 1109541708. Its totient is φ = 179200000.

The previous prime is 453129997. The next prime is 453130033. The reversal of 453130000 is 31354.

It can be written as a sum of positive squares in 10 ways, for example, as 341954064 + 111175936 = 18492^2 + 10544^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1129800 + ... + 1130200.

Almost surely, 2453130000 is an apocalyptic number.

453130000 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 453130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770854).

453130000 is an abundant number, since it is smaller than the sum of its proper divisors (656411708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

453130000 is a wasteful number, since it uses less digits than its factorization.

453130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 453130000 is about 21286.8504011279. The cubic root of 453130000 is about 768.0820315300.

Adding to 453130000 its reverse (31354), we get a palindrome (453161354).

The spelling of 453130000 in words is "four hundred fifty-three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 401 452 500 565 625 802 904 1000 1130 1250 1604 1808 2000 2005 2260 2500 2825 3208 4010 4520 5000 5650 6416 8020 9040 10000 10025 11300 14125 16040 20050 22600 28250 32080 40100 45200 45313 50125 56500 70625 80200 90626 100250 113000 141250 160400 181252 200500 226000 226565 250625 282500 362504 401000 453130 501250 565000 725008 802000 906260 1002500 1130000 1132825 1812520 2005000 2265650 3625040 4010000 4531300 5664125 9062600 11328250 18125200 22656500 28320625 45313000 56641250 90626000 113282500 226565000 453130000