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2055376000 = 2753128461
BaseRepresentation
bin111101010000010…
…1000110010000000
312022020112220211001
41322200220302000
513202134013000
6535541501344
7101635256566
oct17240506200
95266486731
102055376000
1196522a457
12494411854
13269a95722
14156d91a36
15c06a046a
hex7a828c80

2055376000 has 64 divisors (see below), whose sum is σ = 5110218360. Its totient is φ = 822144000.

The previous prime is 2055375997. The next prime is 2055376009. The reversal of 2055376000 is 6735502.

It can be written as a sum of positive squares in 4 ways, for example, as 250145856 + 1805230144 = 15816^2 + 42488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2055376000.

It is not an unprimeable number, because it can be changed into a prime (2055376009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48231 + ... + 80230.

Almost surely, 22055376000 is an apocalyptic number.

2055376000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2055376000 is an abundant number, since it is smaller than the sum of its proper divisors (3054842360).

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

2055376000 is an equidigital number, since it uses as much as digits as its factorization.

2055376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128490 (or 128468 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 2055376000 is about 45336.2548078246. The cubic root of 2055376000 is about 1271.4435813812.

The spelling of 2055376000 in words is "two billion, fifty-five million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 128461 256922 513844 642305 1027688 1284610 2055376 2569220 3211525 4110752 5138440 6423050 8221504 10276880 12846100 16057625 16443008 20553760 25692200 32115250 41107520 51384400 64230500 82215040 102768800 128461000 205537600 256922000 411075200 513844000 1027688000 2055376000