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3130306560 = 2123551737
BaseRepresentation
bin1011101010010100…
…1011000000000000
322002011020001100000
42322211023000000
522402324302220
61234341200000
7140400111123
oct27245130000
98064201300
103130306560
111366a81717
12734400000
133ab6a9704
14219a463ba
15134c33390
hexba94b000

3130306560 has 624 divisors, whose sum is σ = 12236174496. Its totient is φ = 764411904.

The previous prime is 3130306559. The next prime is 3130306567. The reversal of 3130306560 is 656030313.

3130306560 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 3 + 0 + 656 + 0 = 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 (3130306567) 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 47 ways as a sum of consecutive naturals, for example, 84602862 + ... + 84602898.

It is an arithmetic number, because the mean of its divisors is an integer number (19609254).

Almost surely, 23130306560 is an apocalyptic number.

3130306560 is a gapful number since it is divisible by the number (30) 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 3130306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118087248).

3130306560 is an abundant number, since it is smaller than the sum of its proper divisors (9105867936).

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

3130306560 is an equidigital number, since it uses as much as digits as its factorization.

3130306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3130306560 is about 55949.1426207766. The cubic root of 3130306560 is about 1462.8359464935.

Adding to 3130306560 its reverse (656030313), we get a palindrome (3786336873).

The spelling of 3130306560 in words is "three billion, one hundred thirty million, three hundred six thousand, five hundred sixty".