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2700243072 = 273215312
BaseRepresentation
bin1010000011110010…
…0111000010000000
320222011222120010200
42200330213002000
521012230234242
61123535325200
7123625454532
oct24074470200
96864876120
102700243072
11116624264a
12634380800
13340570287
141b8897852
1510c0d204c
hexa0f27080

2700243072 has 72 divisors (see below), whose sum is σ = 7775309295. Its totient is φ = 899493120.

The previous prime is 2700243071. The next prime is 2700243097. The reversal of 2700243072 is 2703420072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1350121536 + 1350121536 = 36744^2 + 36744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36744.

It is not an unprimeable number, because it can be changed into a prime (2700243071) 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 8 ways as a sum of consecutive naturals, for example, 1762947 + ... + 1764477.

Almost surely, 22700243072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2700243072

2700243072 is an abundant number, since it is smaller than the sum of its proper divisors (5075066223).

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

2700243072 is an frugal number, since it uses more digits than its factorization.

2700243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2700243072 is about 51963.8631358370. The cubic root of 2700243072 is about 1392.5184355070.

The spelling of 2700243072 in words is "two billion, seven hundred million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1531 3062 4593 6124 9186 12248 13779 18372 24496 27558 36744 48992 55116 73488 97984 110232 146976 195968 220464 293952 440928 587904 881856 1763712 2343961 4687922 7031883 9375844 14063766 18751688 21095649 28127532 37503376 42191298 56255064 75006752 84382596 112510128 150013504 168765192 225020256 300027008 337530384 450040512 675060768 900081024 1350121536 2700243072