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1076260512 = 25311211047
BaseRepresentation
bin100000000100110…
…0110111010100000
32210000011200212110
41000021212322200
54201010314022
6254443555320
735446030515
oct10011467240
92700150773
101076260512
115025804a8
1226052bb40
13141c8b452
14a2d1d30c
156474700c
hex40266ea0

1076260512 has 24 divisors (see below), whose sum is σ = 2825184096. Its totient is φ = 358753472.

The previous prime is 1076260501. The next prime is 1076260513. The reversal of 1076260512 is 2150626701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1076260512.

It is not an unprimeable number, because it can be changed into a prime (1076260513) 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 3 ways as a sum of consecutive naturals, for example, 5605428 + ... + 5605619.

It is an arithmetic number, because the mean of its divisors is an integer number (117716004).

Almost surely, 21076260512 is an apocalyptic number.

1076260512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1076260512 is an abundant number, since it is smaller than the sum of its proper divisors (1748923584).

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

1076260512 is a wasteful number, since it uses less digits than its factorization.

1076260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211060 (or 11211052 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1076260512 is about 32806.4096176342. The cubic root of 1076260512 is about 1024.8000441205.

The spelling of 1076260512 in words is "one billion, seventy-six million, two hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11211047 22422094 33633141 44844188 67266282 89688376 134532564 179376752 269065128 358753504 538130256 1076260512