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455120200 = 235229131599
BaseRepresentation
bin11011001000001…
…001010101001000
31011201101111112201
4123020021111020
51413002321300
6113054445544
714164313023
oct3310112510
91151344481
10455120200
112139a35a7
121085038b4
13733a03c2
14446321ba
1529e5066a
hex1b209548

455120200 has 96 divisors (see below), whose sum is σ = 1104840000. Its totient is φ = 174137600.

The previous prime is 455120177. The next prime is 455120221. The reversal of 455120200 is 2021554.

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 23 ways as a sum of consecutive naturals, for example, 759501 + ... + 760099.

It is an arithmetic number, because the mean of its divisors is an integer number (11508750).

Almost surely, 2455120200 is an apocalyptic number.

455120200 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 455120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420000).

455120200 is an abundant number, since it is smaller than the sum of its proper divisors (649719800).

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

455120200 is a wasteful number, since it uses less digits than its factorization.

455120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 455120200 is about 21333.5463531031. The cubic root of 455120200 is about 769.2048912833.

Adding to 455120200 its reverse (2021554), we get a palindrome (457141754).

The spelling of 455120200 in words is "four hundred fifty-five million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 131 145 200 232 262 290 524 580 599 655 725 1048 1160 1198 1310 1450 2396 2620 2900 2995 3275 3799 4792 5240 5800 5990 6550 7598 11980 13100 14975 15196 17371 18995 23960 26200 29950 30392 34742 37990 59900 69484 75980 78469 86855 94975 119800 138968 151960 156938 173710 189950 313876 347420 379900 392345 434275 627752 694840 759800 784690 868550 1569380 1737100 1961725 2275601 3138760 3474200 3923450 4551202 7846900 9102404 11378005 15693800 18204808 22756010 45512020 56890025 91024040 113780050 227560100 455120200