Search a number
-
+
1055510064 = 243271047133
BaseRepresentation
bin111110111010011…
…100111000110000
32201120010110121100
4332322130320300
54130202310224
6252423124400
735104454550
oct7672347060
92646113540
101055510064
114a1898374
122555a3700
1313a8a458b
14a027b160
15629e8ac9
hex3ee9ce30

1055510064 has 60 divisors (see below), whose sum is σ = 3375960016. Its totient is φ = 301574016.

The previous prime is 1055510047. The next prime is 1055510107. The reversal of 1055510064 is 4600155501.

It is a happy number.

1055510064 is a `hidden beast` number, since 1 + 0 + 555 + 100 + 6 + 4 = 666.

It is a super-2 number, since 2×10555100642 = 2228202990410568192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522559 + ... + 524574.

Almost surely, 21055510064 is an apocalyptic number.

1055510064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1055510064 is an abundant number, since it is smaller than the sum of its proper divisors (2320449952).

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

1055510064 is a wasteful number, since it uses less digits than its factorization.

1055510064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047154 (or 1047145 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1055510064 is about 32488.6143748852. The cubic root of 1055510064 is about 1018.1711634978.

Adding to 1055510064 its reverse (4600155501), we get a palindrome (5655665565).

The spelling of 1055510064 in words is "one billion, fifty-five million, five hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1047133 2094266 3141399 4188532 6282798 7329931 8377064 9424197 12565596 14659862 16754128 18848394 21989793 25131192 29319724 37696788 43979586 50262384 58639448 65969379 75393576 87959172 117278896 131938758 150787152 175918344 263877516 351836688 527755032 1055510064