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455120000 = 27545689
BaseRepresentation
bin11011001000001…
…001010010000000
31011201101111021022
4123020021102000
51413002320000
6113054445012
714164312316
oct3310112200
91151344238
10455120000
112139a3435
12108503768
13733a029a
14446320b6
1529e50585
hex1b209480

455120000 has 80 divisors (see below), whose sum is σ = 1133191950. Its totient is φ = 182016000.

The previous prime is 455119993. The next prime is 455120009. The reversal of 455120000 is 21554.

It can be written as a sum of positive squares in 5 ways, for example, as 67502656 + 387617344 = 8216^2 + 19688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (455120009) 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, 77156 + ... + 82844.

Almost surely, 2455120000 is an apocalyptic number.

455120000 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 455120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566595975).

455120000 is an abundant number, since it is smaller than the sum of its proper divisors (678071950).

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

455120000 is an frugal number, since it uses more digits than its factorization.

455120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 455120000 is about 21333.5416656494. The cubic root of 455120000 is about 769.2047786090.

Adding to 455120000 its reverse (21554), we get a palindrome (455141554).

The spelling of 455120000 in words is "four hundred fifty-five million, one 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 5689 8000 10000 11378 16000 20000 22756 28445 40000 45512 56890 80000 91024 113780 142225 182048 227560 284450 364096 455120 568900 711125 728192 910240 1137800 1422250 1820480 2275600 2844500 3555625 3640960 4551200 5689000 7111250 9102400 11378000 14222500 18204800 22756000 28445000 45512000 56890000 91024000 113780000 227560000 455120000