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445055120 = 24526920681
BaseRepresentation
bin11010100001110…
…000000010010000
31011000110010211222
4122201300002100
51402413230440
6112055024212
714012622536
oct3241600220
91130403758
10445055120
11209249554
1210506b068
1371288033
1443172156
15291132b5
hex1a870090

445055120 has 40 divisors (see below), whose sum is σ = 1038650040. Its totient is φ = 177351680.

The previous prime is 445055119. The next prime is 445055131. The reversal of 445055120 is 21550544.

It can be written as a sum of positive squares in 4 ways, for example, as 14409616 + 430645504 = 3796^2 + 20752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 445055120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11180 + ... + 31860.

It is an arithmetic number, because the mean of its divisors is an integer number (25966251).

Almost surely, 2445055120 is an apocalyptic number.

445055120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445055120 is an abundant number, since it is smaller than the sum of its proper divisors (593594920).

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

445055120 is a wasteful number, since it uses less digits than its factorization.

445055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20963 (or 20957 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 445055120 is about 21096.3295385714. The cubic root of 445055120 is about 763.4921929094.

The spelling of 445055120 in words is "four hundred forty-five million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 4304 5380 10760 20681 21520 41362 82724 103405 165448 206810 330896 413620 827240 1654480 5563189 11126378 22252756 27815945 44505512 55631890 89011024 111263780 222527560 445055120