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2704030560 = 253357112739
BaseRepresentation
bin1010000100101100…
…0011101101100000
320222110002222121000
42201023003231200
521014212434220
61124152432000
7124002611010
oct24113035540
96873088530
102704030560
11116839a200
126356a8600
133412981aa
141b91a1c40
1510c5ce390
hexa12c3b60

2704030560 has 576 divisors, whose sum is σ = 11904883200. Its totient is φ = 561116160.

The previous prime is 2704030541. The next prime is 2704030561. The reversal of 2704030560 is 650304072.

It is a happy number.

2704030560 is a `hidden beast` number, since 2 + 70 + 4 + 0 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704030561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3658671 + ... + 3659409.

It is an arithmetic number, because the mean of its divisors is an integer number (20668200).

Almost surely, 22704030560 is an apocalyptic number.

2704030560 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 2704030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952441600).

2704030560 is an abundant number, since it is smaller than the sum of its proper divisors (9200852640).

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

2704030560 is a wasteful number, since it uses less digits than its factorization.

2704030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2704030560 is about 52000.2938453236. The cubic root of 2704030560 is about 1393.1692019653.

It can be divided in two parts, 27040 and 30560, that added together give a square (57600 = 2402).

The spelling of 2704030560 in words is "two billion, seven hundred four million, thirty thousand, five hundred sixty".