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2755607040 = 2934597137
BaseRepresentation
bin1010010000111111…
…0011101000000000
321010001011100020000
42210033303220000
521120413411130
61133234120000
7125200162524
oct24417635000
97101140200
102755607040
11119451739a
1264aa20000
1334bb86014
141c1d89d84
15111dbb260
hexa43f3a00

2755607040 has 400 divisors, whose sum is σ = 10044247752. Its totient is φ = 721944576.

The previous prime is 2755607017. The next prime is 2755607051. The reversal of 2755607040 is 407065572.

2755607040 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 607 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2244485376 + 511121664 = 47376^2 + 22608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2755606986 and 2755607004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20113852 + ... + 20113988.

Almost surely, 22755607040 is an apocalyptic number.

2755607040 is a gapful number since it is divisible by the number (20) 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 2755607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022123876).

2755607040 is an abundant number, since it is smaller than the sum of its proper divisors (7288640712).

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

2755607040 is an equidigital number, since it uses as much as digits as its factorization.

2755607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2755607040 is about 52493.8762142786. The cubic root of 2755607040 is about 1401.9712096153.

The spelling of 2755607040 in words is "two billion, seven hundred fifty-five million, six hundred seven thousand, forty".